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85921776 = 24331031931
BaseRepresentation
bin1010001111100…
…00111111110000
312222200021112000
411013300333300
5133443444101
612305334000
72062215543
oct507607760
9188607460
1085921776
1144556336
1224937300
1314a548b5
14b5a885a
157823486
hex51f0ff0

85921776 has 80 divisors (see below), whose sum is σ = 249150720. Its totient is φ = 28347840.

The previous prime is 85921763. The next prime is 85921793. The reversal of 85921776 is 67712958.

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, 43531 + ... + 45461.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384).

Almost surely, 285921776 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 85921776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124575360).

85921776 is an abundant number, since it is smaller than the sum of its proper divisors (163228944).

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

85921776 is a wasteful number, since it uses less digits than its factorization.

85921776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2039 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 85921776 is about 9269.3999805813. The cubic root of 85921776 is about 441.2666257542.

The spelling of 85921776 in words is "eighty-five million, nine hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 1931 2472 2781 3708 3862 4944 5562 5793 7416 7724 11124 11586 14832 15448 17379 22248 23172 30896 34758 44496 46344 52137 69516 92688 104274 139032 198893 208548 278064 397786 417096 596679 795572 834192 1193358 1591144 1790037 2386716 3182288 3580074 4773432 5370111 7160148 9546864 10740222 14320296 21480444 28640592 42960888 85921776