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86737896 = 233271131523
BaseRepresentation
bin1010010101110…
…00001111101000
320001012202000200
411022320033220
5134201103041
612335032200
72102155110
oct512701750
9201182020
1086737896
1144a63513
122506b660
1314c7c1cb
14b73c040
1579351b6
hex52b83e8

86737896 has 96 divisors (see below), whose sum is σ = 271028160. Its totient is φ = 24546816.

The previous prime is 86737883. The next prime is 86737901. The reversal of 86737896 is 69873768.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56191 + ... + 57713.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 286737896 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 86737896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135514080).

86737896 is an abundant number, since it is smaller than the sum of its proper divisors (184290264).

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

86737896 is a wasteful number, since it uses less digits than its factorization.

86737896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1648 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 86737896 is about 9313.3182056665. The cubic root of 86737896 is about 442.6593355143.

The spelling of 86737896 in words is "eighty-six million, seven hundred thirty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1523 1582 2034 2373 2712 3046 3164 4068 4569 4746 6092 6328 7119 8136 9138 9492 10661 12184 13707 14238 18276 18984 21322 27414 28476 31983 36552 42644 54828 56952 63966 85288 95949 109656 127932 172099 191898 255864 344198 383796 516297 688396 767592 1032594 1204693 1376792 1548891 2065188 2409386 3097782 3614079 4130376 4818772 6195564 7228158 9637544 10842237 12391128 14456316 21684474 28912632 43368948 86737896