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48372896 = 2511213312
BaseRepresentation
bin1011100010000…
…1110010100000
310101000121010202
42320201302200
544340413041
64444444332
71125106565
oct270416240
9111017122
1048372896
112533a300
12142496a8
13a038920
1465d286c
1543a7a9b
hex2e21ca0

48372896 has 108 divisors (see below), whose sum is σ = 116484858. Its totient is φ = 19641600.

The previous prime is 48372889. The next prime is 48372923. The reversal of 48372896 is 69827384.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 1860496 = 6820^2 + 1364^2 .

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 48372896.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1560401 + ... + 1560431.

Almost surely, 248372896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58242429).

48372896 is an abundant number, since it is smaller than the sum of its proper divisors (68111962).

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

48372896 is a wasteful number, since it uses less digits than its factorization.

48372896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 48372896 is about 6955.0626165406. The cubic root of 48372896 is about 364.3627989269.

The spelling of 48372896 in words is "forty-eight million, three hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 121 124 143 176 208 242 248 286 341 352 403 416 484 496 572 682 806 961 968 992 1144 1364 1573 1612 1922 1936 2288 2728 3146 3224 3751 3844 3872 4433 4576 5456 6292 6448 7502 7688 8866 10571 10912 12493 12584 12896 15004 15376 17732 21142 24986 25168 30008 30752 35464 42284 48763 49972 50336 60016 70928 84568 97526 99944 116281 120032 137423 141856 169136 195052 199888 232562 274846 338272 390104 399776 465124 549692 780208 930248 1099384 1511653 1560416 1860496 2198768 3023306 3720992 4397536 6046612 12093224 24186448 48372896