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97136592 = 2437476151
BaseRepresentation
bin1011100101000…
…10111111010000
320202210001100120
411302202333100
5144331332332
613345550240
72256435030
oct562427720
9222701316
1097136592
114a916183
1228645380
1317180397
14cc878c0
1587db32c
hex5ca2fd0

97136592 has 80 divisors (see below), whose sum is σ = 292933632. Its totient is φ = 27158400.

The previous prime is 97136587. The next prime is 97136603. The reversal of 97136592 is 29563179.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12717 + ... + 18867.

Almost surely, 297136592 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 97136592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146466816).

97136592 is an abundant number, since it is smaller than the sum of its proper divisors (195797040).

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

97136592 is a wasteful number, since it uses less digits than its factorization.

97136592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6210 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 97136592 is about 9855.7897704852. The cubic root of 97136592 is about 459.6856579584.

The spelling of 97136592 in words is "ninety-seven million, one hundred thirty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 6151 7896 12302 15792 18453 24604 36906 43057 49208 73812 86114 98416 129171 147624 172228 258342 289097 295248 344456 516684 578194 688912 867291 1033368 1156388 1734582 2023679 2066736 2312776 3469164 4047358 4625552 6071037 6938328 8094716 12142074 13876656 16189432 24284148 32378864 48568296 97136592