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85731516 = 223213374951
BaseRepresentation
bin1010001110000…
…10100010111100
312222022121112100
411013002202330
5133421402031
612301305100
72060464053
oct507024274
9188277470
1085731516
11444363a2
1224865190
13149b9110
14b55939a
1577d6de6
hex51c28bc

85731516 has 72 divisors (see below), whose sum is σ = 239736224. Its totient is φ = 25660800.

The previous prime is 85731497. The next prime is 85731521. The reversal of 85731516 is 61513758.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14841 + ... + 19791.

Almost surely, 285731516 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 85731516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119868112).

85731516 is an abundant number, since it is smaller than the sum of its proper divisors (154004708).

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

85731516 is a wasteful number, since it uses less digits than its factorization.

85731516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 5006 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 85731516 is about 9259.1314927481. The cubic root of 85731516 is about 440.9406803146.

The spelling of 85731516 in words is "eighty-five million, seven hundred thirty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 4951 5772 8658 9902 14853 17316 19804 29706 44559 59412 64363 89118 128726 178236 183187 193089 257452 366374 386178 549561 579267 732748 772356 1099122 1158534 1648683 2198244 2317068 2381431 3297366 4762862 6594732 7144293 9525724 14288586 21432879 28577172 42865758 85731516