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48836480 = 275711991
BaseRepresentation
bin1011101001001…
…0111110000000
310101220011001112
42322102332000
5100000231410
64502422452
71132050260
oct272227600
9111804045
1048836480
1125626630
1214431a28
13a16b934
1466b37a0
15444a105
hex2e92f80

48836480 has 128 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 15206400.

The previous prime is 48836471. The next prime is 48836503. The reversal of 48836480 is 8463884.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48785 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 248836480 is an apocalyptic number.

48836480 is a gapful number since it is divisible by the number (40) 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 48836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

48836480 is an abundant number, since it is smaller than the sum of its proper divisors (96868480).

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

48836480 is a wasteful number, since it uses less digits than its factorization.

48836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 48836480 is about 6988.3102392495. The cubic root of 48836480 is about 365.5230631645.

The spelling of 48836480 in words is "forty-eight million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 991 1120 1232 1408 1540 1760 1982 2240 2464 3080 3520 3964 4480 4928 4955 6160 6937 7040 7928 9856 9910 10901 12320 13874 15856 19820 21802 24640 27748 31712 34685 39640 43604 49280 54505 55496 63424 69370 76307 79280 87208 109010 110992 126848 138740 152614 158560 174416 218020 221984 277480 305228 317120 348832 381535 436040 443968 554960 610456 634240 697664 763070 872080 887936 1109920 1220912 1395328 1526140 1744160 2219840 2441824 3052280 3488320 4439680 4883648 6104560 6976640 9767296 12209120 24418240 48836480