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85060976 = 247111347113
BaseRepresentation
bin1010001000111…
…10110101110000
312221001112201112
411010132311300
5133233422401
612235052452
72052002120
oct504366560
9187045645
1085060976
1144018630
12245a1128
1314812b50
14b422c80
1577033bb
hex511ed70

85060976 has 160 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 29675520.

The previous prime is 85060951. The next prime is 85061003. The reversal of 85060976 is 67906058.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 752696 + ... + 752808.

Almost surely, 285060976 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 85060976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704).

85060976 is an abundant number, since it is smaller than the sum of its proper divisors (142924432).

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

85060976 is a wasteful number, since it uses less digits than its factorization.

85060976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 85060976 is about 9222.8507523433. The cubic root of 85060976 is about 439.7880797660.

The spelling of 85060976 in words is "eighty-five million, sixty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 47 52 56 77 88 91 94 104 112 113 143 154 176 182 188 208 226 286 308 329 364 376 452 517 572 611 616 658 728 752 791 904 1001 1034 1144 1222 1232 1243 1316 1456 1469 1582 1808 2002 2068 2288 2444 2486 2632 2938 3164 3619 4004 4136 4277 4888 4972 5264 5311 5876 6328 6721 7238 8008 8272 8554 8701 9776 9944 10283 10622 11752 12656 13442 14476 16016 16159 17108 17402 19888 20566 21244 23504 26884 28952 32318 34216 34804 37177 41132 42488 47047 53768 57904 58421 64636 68432 69043 69608 74354 82264 84976 94094 107536 113113 116842 129272 138086 139216 148708 164528 188188 226226 233684 258544 276172 297416 376376 408947 452452 467368 483301 552344 594832 752752 759473 817894 904904 934736 966602 1104688 1518946 1635788 1809808 1933204 3037892 3271576 3866408 5316311 6075784 6543152 7732816 10632622 12151568 21265244 42530488 85060976