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87902496 = 2534113083
BaseRepresentation
bin1010011110101…
…00100100100000
320010101220120000
411033110210200
5140000334441
612420020000
72115105333
oct517244440
9203356500
1087902496
11456894a0
1225531600
1315299316
14b96261a
157ab52b6
hex53d4920

87902496 has 120 divisors (see below), whose sum is σ = 282111984. Its totient is φ = 26628480.

The previous prime is 87902489. The next prime is 87902497. The reversal of 87902496 is 69420978.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87902497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26971 + ... + 30053.

Almost surely, 287902496 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 87902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141055992).

87902496 is an abundant number, since it is smaller than the sum of its proper divisors (194209488).

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

87902496 is a wasteful number, since it uses less digits than its factorization.

87902496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 87902496 is about 9375.6330986233. The cubic root of 87902496 is about 444.6316794071.

The spelling of 87902496 in words is "eighty-seven million, nine hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3083 3168 3564 4752 6166 7128 9249 9504 12332 14256 18498 24664 27747 28512 33913 36996 49328 55494 67826 73992 83241 98656 101739 110988 135652 147984 166482 203478 221976 249723 271304 295968 305217 332964 406956 443952 499446 542608 610434 665928 813912 887904 915651 998892 1085216 1220868 1331856 1627824 1831302 1997784 2441736 2663712 2746953 3255648 3662604 3995568 4883472 5493906 7325208 7991136 9766944 10987812 14650416 21975624 29300832 43951248 87902496