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87676764 = 22376171241
BaseRepresentation
bin1010011100111…
…01011101011100
320002222102220120
411032131131130
5134421124024
612411114540
72113145250
oct516353534
9202872816
1087676764
114554493a
1225442a50
131521a656
14b904260
157a6d479
hex539d75c

87676764 has 96 divisors (see below), whose sum is σ = 241984512. Its totient is φ = 24192000.

The previous prime is 87676753. The next prime is 87676781. The reversal of 87676764 is 46767678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363684 + ... + 363924.

It is an arithmetic number, because the mean of its divisors is an integer number (2520672).

Almost surely, 287676764 is an apocalyptic number.

87676764 is a gapful number since it is divisible by the number (84) 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 87676764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256).

87676764 is an abundant number, since it is smaller than the sum of its proper divisors (154307748).

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

87676764 is a wasteful number, since it uses less digits than its factorization.

87676764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 87676764 is about 9363.5871331451. The cubic root of 87676764 is about 444.2507511451.

The spelling of 87676764 in words is "eighty-seven million, six hundred seventy-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 71 84 122 142 183 213 241 244 284 366 426 427 482 497 723 732 852 854 964 994 1281 1446 1491 1687 1708 1988 2562 2892 2982 3374 4331 5061 5124 5964 6748 8662 10122 12993 14701 17111 17324 20244 25986 29402 30317 34222 44103 51333 51972 58804 60634 68444 88206 90951 102666 102907 119777 121268 176412 181902 205332 205814 239554 308721 359331 363804 411628 479108 617442 718662 1043771 1234884 1437324 2087542 3131313 4175084 6262626 7306397 12525252 14612794 21919191 29225588 43838382 87676764