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97285936 = 24112311621
BaseRepresentation
bin1011100110001…
…11011100110000
320210001122012211
411303013130300
5144401122221
613353101504
72260626316
oct563073460
9223048184
1097285936
114aa08400
12286b7894
1317203357
14ccc60b6
15881a6e1
hex5cc7730

97285936 has 60 divisors (see below), whose sum is σ = 214000192. Its totient is φ = 42768000.

The previous prime is 97285933. The next prime is 97285939. The reversal of 97285936 is 63958279.

It is an interprime number because it is at equal distance from previous prime (97285933) and next prime (97285939).

It is a self number, because there is not a number n which added to its sum of digits gives 97285936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97285931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59206 + ... + 60826.

Almost surely, 297285936 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 97285936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107000096).

97285936 is an abundant number, since it is smaller than the sum of its proper divisors (116714256).

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

97285936 is a wasteful number, since it uses less digits than its factorization.

97285936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1665 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 97285936 is about 9863.3633208962. The cubic root of 97285936 is about 459.9211206903.

The spelling of 97285936 in words is "ninety-seven million, two hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 968 1364 1621 1936 2728 3242 3751 5456 6484 7502 12968 15004 17831 25936 30008 35662 50251 60016 71324 100502 142648 196141 201004 285296 392282 402008 552761 784564 804016 1105522 1569128 2211044 3138256 4422088 6080371 8844176 12160742 24321484 48642968 97285936