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87432992 = 2541103647
BaseRepresentation
bin1010011011000…
…01111100100000
320002112001111222
411031201330200
5134340323432
612401554212
72111111453
oct515417440
9202461458
1087432992
1145398779
1225345968
13151636ca
14b87d49a
157a21112
hex5361f20

87432992 has 48 divisors (see below), whose sum is σ = 178319232. Its totient is φ = 42170880.

The previous prime is 87432991. The next prime is 87432997. The reversal of 87432992 is 29923478.

It is not an unprimeable number, because it can be changed into a prime (87432991) 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, 134813 + ... + 135459.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 287432992 is an apocalyptic number.

87432992 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

87432992 is an abundant number, since it is smaller than the sum of its proper divisors (90886240).

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

87432992 is a wasteful number, since it uses less digits than its factorization.

87432992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 87432992 is about 9350.5610526856. The cubic root of 87432992 is about 443.8386449371.

The spelling of 87432992 in words is "eighty-seven million, four hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 103 164 206 328 412 647 656 824 1294 1312 1648 2588 3296 4223 5176 8446 10352 16892 20704 26527 33784 53054 66641 67568 106108 133282 135136 212216 266564 424432 533128 848864 1066256 2132512 2732281 5464562 10929124 21858248 43716496 87432992