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85960472 = 23133789251
BaseRepresentation
bin1010001111110…
…10011100011000
312222202020121012
411013322130120
5134001213342
612310233052
72062436423
oct507723430
9188666535
1085960472
1144582414
1224955788
1314a693b0
14b5b89ba
15782eb82
hex51fa718

85960472 has 64 divisors (see below), whose sum is σ = 180986400. Its totient is φ = 38016000.

The previous prime is 85960471. The next prime is 85960487. The reversal of 85960472 is 27406958.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85960471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342347 + ... + 342597.

Almost surely, 285960472 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 85960472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493200).

85960472 is an abundant number, since it is smaller than the sum of its proper divisors (95025928).

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

85960472 is a wasteful number, since it uses less digits than its factorization.

85960472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 85960472 is about 9271.4870436193. The cubic root of 85960472 is about 441.3328592185.

The spelling of 85960472 in words is "eighty-five million, nine hundred sixty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 37 52 74 89 104 148 178 251 296 356 481 502 712 962 1004 1157 1924 2008 2314 3263 3293 3848 4628 6526 6586 9256 9287 13052 13172 18574 22339 26104 26344 37148 42809 44678 74296 85618 89356 120731 171236 178712 241462 290407 342472 482924 580814 826543 965848 1161628 1653086 2323256 3306172 6612344 10745059 21490118 42980236 85960472