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87427692 = 2232112329331
BaseRepresentation
bin1010011011000…
…00101001101100
320002111210020200
411031200221230
5134340141232
612401513500
72111060142
oct515405154
9202453220
1087427692
11453947a0
1225342890
1315161181
14b87b592
157a1e77c
hex5360a6c

87427692 has 144 divisors (see below), whose sum is σ = 261031680. Its totient is φ = 24393600.

The previous prime is 87427679. The next prime is 87427693. The reversal of 87427692 is 29672478.

It is not an unprimeable number, because it can be changed into a prime (87427693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263967 + ... + 264297.

It is an arithmetic number, because the mean of its divisors is an integer number (1812720).

Almost surely, 287427692 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 87427692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515840).

87427692 is an abundant number, since it is smaller than the sum of its proper divisors (173603988).

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

87427692 is a wasteful number, since it uses less digits than its factorization.

87427692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 87427692 is about 9350.2776429366. The cubic root of 87427692 is about 443.8296765744.

The spelling of 87427692 in words is "eighty-seven million, four hundred twenty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 331 348 396 414 506 522 638 662 667 759 828 957 993 1012 1044 1276 1324 1334 1518 1914 1986 2001 2277 2668 2871 2979 3036 3641 3828 3972 4002 4554 5742 5958 6003 7282 7337 7613 8004 9108 9599 10923 11484 11916 12006 14564 14674 15226 19198 21846 22011 22839 24012 28797 29348 30452 32769 38396 43692 44022 45678 57594 65538 66033 68517 83743 86391 88044 91356 105589 115188 131076 132066 137034 167486 172782 211178 220777 251229 264132 274068 316767 334972 345564 422356 441554 502458 633534 662331 753687 883108 950301 1004916 1267068 1324662 1507374 1900602 1986993 2428547 2649324 3014748 3801204 3973986 4857094 7285641 7947972 9714188 14571282 21856923 29142564 43713846 87427692