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85931776 = 28779607
BaseRepresentation
bin1010001111100…
…11011100000000
312222200210020101
411013303130000
5133444304101
612305452144
72062256650
oct507633400
9188623211
1085931776
11445628a7
1224941054
1314a59308
14b5ac360
157826401
hex51f3700

85931776 has 72 divisors (see below), whose sum is σ = 198840320. Its totient is φ = 36301824.

The previous prime is 85931773. The next prime is 85931779. The reversal of 85931776 is 67713958.

It is an interprime number because it is at equal distance from previous prime (85931773) and next prime (85931779).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85931773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141265 + ... + 141871.

Almost surely, 285931776 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 85931776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420160).

85931776 is an abundant number, since it is smaller than the sum of its proper divisors (112908544).

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

85931776 is an equidigital number, since it uses as much as digits as its factorization.

85931776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

The product of its digits is 317520, while the sum is 46.

The square root of 85931776 is about 9269.9393741275. The cubic root of 85931776 is about 441.2837440188.

The spelling of 85931776 in words is "eighty-five million, nine hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 256 316 448 553 607 632 896 1106 1214 1264 1792 2212 2428 2528 4249 4424 4856 5056 8498 8848 9712 10112 16996 17696 19424 20224 33992 35392 38848 47953 67984 70784 77696 95906 135968 141568 155392 191812 271936 335671 383624 543872 671342 767248 1087744 1342684 1534496 2685368 3068992 5370736 6137984 10741472 12275968 21482944 42965888 85931776