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87053376 = 263736211
BaseRepresentation
bin1010011000001…
…01010001000000
320001210202210010
411030011101000
5134241202001
612345504520
72104640634
oct514052100
9201722703
1087053376
1145159543
12251a2140
131505c997
14b7c0dc4
1579988d6
hex5305440

87053376 has 56 divisors (see below), whose sum is σ = 233521504. Its totient is φ = 28615680.

The previous prime is 87053327. The next prime is 87053377. The reversal of 87053376 is 67335078.

It is not an unprimeable number, because it can be changed into a prime (87053377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10911 + ... + 17121.

Almost surely, 287053376 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 87053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116760752).

87053376 is an abundant number, since it is smaller than the sum of its proper divisors (146468128).

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

87053376 is a wasteful number, since it uses less digits than its factorization.

87053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 87053376 is about 9330.2398682992. The cubic root of 87053376 is about 443.1953611143.

The spelling of 87053376 in words is "eighty-seven million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 6211 7008 12422 14016 18633 24844 37266 49688 74532 99376 149064 198752 298128 397504 453403 596256 906806 1192512 1360209 1813612 2720418 3627224 5440836 7254448 10881672 14508896 21763344 29017792 43526688 87053376