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85177004 = 221117234951
BaseRepresentation
bin1010001001110…
…11001010101100
312221021102212212
411010323022230
5133301131004
612241345552
72052664313
oct504731254
9187242785
1085177004
1144097820
12246382b8
13148538c3
14b45327a
15772796e
hex513b2ac

85177004 has 48 divisors (see below), whose sum is σ = 179698176. Its totient is φ = 34848000.

The previous prime is 85176979. The next prime is 85177009. The reversal of 85177004 is 40077158.

It is not an unprimeable number, because it can be changed into a prime (85177009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14729 + ... + 19679.

It is an arithmetic number, because the mean of its divisors is an integer number (3743712).

Almost surely, 285177004 is an apocalyptic number.

It is an amenable number.

85177004 is an abundant number, since it is smaller than the sum of its proper divisors (94521172).

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

85177004 is a wasteful number, since it uses less digits than its factorization.

85177004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 85177004 is about 9229.1388547361. The cubic root of 85177004 is about 439.9879542157.

The spelling of 85177004 in words is "eighty-five million, one hundred seventy-seven thousand, four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 374 391 506 748 782 1012 1564 4301 4951 8602 9902 17204 19804 54461 84167 108922 113873 168334 217844 227746 336668 455492 925837 1252603 1851674 1935841 2505206 3703348 3871682 5010412 7743364 21294251 42588502 85177004