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87990912 = 2732174493
BaseRepresentation
bin1010011111010…
…10001010000000
320010120101211200
411033222022000
5140011202122
612421541200
72115624162
oct517521200
9203511750
1087990912
1145739969
1225574800
13152ca639
14b986932
157ad15ac
hex53ea280

87990912 has 96 divisors (see below), whose sum is σ = 268156980. Its totient is φ = 27598848.

The previous prime is 87990869. The next prime is 87990913. The reversal of 87990912 is 21909978.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 21013056 = 8184^2 + 4584^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87990913) 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 11 ways as a sum of consecutive naturals, for example, 17338 + ... + 21830.

Almost surely, 287990912 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 87990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134078490).

87990912 is an abundant number, since it is smaller than the sum of its proper divisors (180166068).

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

87990912 is a wasteful number, since it uses less digits than its factorization.

87990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 87990912 is about 9380.3471151125. The cubic root of 87990912 is about 444.7807058208.

The spelling of 87990912 in words is "eighty-seven million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4493 4896 6528 8986 9792 13479 17972 19584 26958 35944 40437 53916 71888 76381 80874 107832 143776 152762 161748 215664 229143 287552 305524 323496 431328 458286 575104 611048 646992 687429 862656 916572 1222096 1293984 1374858 1725312 1833144 2444192 2587968 2749716 3666288 4888384 5175936 5499432 7332576 9776768 10998864 14665152 21997728 29330304 43995456 87990912