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87463936 = 21176101
BaseRepresentation
bin1010011011010…
…01100000000000
320002120121222001
411031221200000
5134342321221
612402353344
72111300620
oct515514000
9202517861
1087463936
1145409a4a
122535b854
1315174811
14b88a880
157a2a391
hex5369800

87463936 has 48 divisors (see below), whose sum is σ = 199901520. Its totient is φ = 37478400.

The previous prime is 87463919. The next prime is 87463991. The reversal of 87463936 is 63936478.

It is a super-2 number, since 2×874639362 = 15299880201224192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11286 + ... + 17386.

It is an arithmetic number, because the mean of its divisors is an integer number (4164615).

Almost surely, 287463936 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 87463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99950760).

87463936 is an abundant number, since it is smaller than the sum of its proper divisors (112437584).

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

87463936 is an equidigital number, since it uses as much as digits as its factorization.

87463936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6110 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 87463936 is about 9352.2155663778. The cubic root of 87463936 is about 443.8909994042.

The spelling of 87463936 in words is "eighty-seven million, four hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 6101 7168 12202 14336 24404 42707 48808 85414 97616 170828 195232 341656 390464 683312 780928 1366624 1561856 2733248 3123712 5466496 6247424 10932992 12494848 21865984 43731968 87463936