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85300176 = 24313223613
BaseRepresentation
bin1010001010110…
…01001111010000
312221111200211210
411011121033100
5133314101201
612244140120
72054016363
oct505311720
9187450753
1085300176
1144171315
1224697640
13148979a0
14b4860da
15774e1d6
hex51593d0

85300176 has 80 divisors (see below), whose sum is σ = 238762496. Its totient is φ = 26085888.

The previous prime is 85300153. The next prime is 85300183. The reversal of 85300176 is 67100358.

It is a super-2 number, since 2×853001762 = 14552240051261952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138846 + ... + 139458.

Almost surely, 285300176 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 85300176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119381248).

85300176 is an abundant number, since it is smaller than the sum of its proper divisors (153462320).

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

85300176 is a wasteful number, since it uses less digits than its factorization.

85300176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 85300176 is about 9235.8094393507. The cubic root of 85300176 is about 440.1999366829.

The spelling of 85300176 in words is "eighty-five million, three hundred thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 223 312 446 613 624 669 892 1226 1338 1784 1839 2452 2676 2899 3568 3678 4904 5352 5798 7356 7969 8697 9808 10704 11596 14712 15938 17394 23192 23907 29424 31876 34788 46384 47814 63752 69576 95628 127504 136699 139152 191256 273398 382512 410097 546796 820194 1093592 1640388 1777087 2187184 3280776 3554174 5331261 6561552 7108348 10662522 14216696 21325044 28433392 42650088 85300176