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48211488 = 25321379163
BaseRepresentation
bin1011011111101…
…0011000100000
310100201101201200
42313322120200
544320231423
64441201200
71123535163
oct267723040
9110641650
1048211488
112523a006
1214190200
139cb0310
14658dada
154374d43
hex2dfa620

48211488 has 144 divisors (see below), whose sum is σ = 150433920. Its totient is φ = 14556672.

The previous prime is 48211487. The next prime is 48211489. The reversal of 48211488 is 88411284.

It is a happy number.

48211488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48211487) and next prime (48211489).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48211487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295695 + ... + 295857.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 248211488 is an apocalyptic number.

48211488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48211488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75216960).

48211488 is an abundant number, since it is smaller than the sum of its proper divisors (102222432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48211488 is a wasteful number, since it uses less digits than its factorization.

48211488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 48211488 is about 6943.4492869179. The cubic root of 48211488 is about 363.9570854692.

The spelling of 48211488 in words is "forty-eight million, two hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 79 96 104 117 144 156 158 163 208 234 237 288 312 316 326 416 468 474 489 624 632 652 711 936 948 978 1027 1248 1264 1304 1422 1467 1872 1896 1956 2054 2119 2528 2608 2844 2934 3081 3744 3792 3912 4108 4238 5216 5688 5868 6162 6357 7584 7824 8216 8476 9243 11376 11736 12324 12714 12877 15648 16432 16952 18486 19071 22752 23472 24648 25428 25754 32864 33904 36972 38142 38631 46944 49296 50856 51508 67808 73944 76284 77262 98592 101712 103016 115893 147888 152568 154524 167401 203424 206032 231786 295776 305136 309048 334802 412064 463572 502203 610272 618096 669604 927144 1004406 1236192 1339208 1506609 1854288 2008812 2678416 3013218 3708576 4017624 5356832 6026436 8035248 12052872 16070496 24105744 48211488