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48287232 = 29337499
BaseRepresentation
bin1011100000110…
…0111000000000
310100212020122000
42320030320000
544330142412
64442544000
71124302050
oct270147000
9110766560
1048287232
1125290a04
1214208000
13a008936
1465ad560
15438c4dc
hex2e0ce00

48287232 has 160 divisors (see below), whose sum is σ = 163680000. Its totient is φ = 13768704.

The previous prime is 48287231. The next prime is 48287251. The reversal of 48287232 is 23278284.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48287231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96519 + ... + 97017.

It is an arithmetic number, because the mean of its divisors is an integer number (1023000).

Almost surely, 248287232 is an apocalyptic number.

48287232 is a gapful number since it is divisible by the number (42) 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 48287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840000).

48287232 is an abundant number, since it is smaller than the sum of its proper divisors (115392768).

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

48287232 is an equidigital number, since it uses as much as digits as its factorization.

48287232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 48287232 is about 6948.9014959201. The cubic root of 48287232 is about 364.1475873757.

The spelling of 48287232 in words is "forty-eight million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 499 504 512 576 672 756 768 864 896 998 1008 1152 1344 1497 1512 1536 1728 1792 1996 2016 2304 2688 2994 3024 3456 3493 3584 3992 4032 4491 4608 5376 5988 6048 6912 6986 7984 8064 8982 10479 10752 11976 12096 13473 13824 13972 15968 16128 17964 20958 23952 24192 26946 27944 31437 31936 32256 35928 41916 47904 48384 53892 55888 62874 63872 71856 83832 94311 95808 96768 107784 111776 125748 127744 143712 167664 188622 191616 215568 223552 251496 255488 287424 335328 377244 383232 431136 447104 502992 574848 670656 754488 766464 862272 894208 1005984 1149696 1341312 1508976 1724544 1788416 2011968 2299392 2682624 3017952 3449088 4023936 5365248 6035904 6898176 8047872 12071808 16095744 24143616 48287232