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97430944 = 25131723599
BaseRepresentation
bin1011100111010…
…10110110100000
320210100000010111
411303222312200
5144420242234
613400141104
72262102142
oct563526640
9223300114
1097430944
114aaa7346
1228767794
1317254360
14cd22c92
158848664
hex5ceada0

97430944 has 96 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 40415232.

The previous prime is 97430933. The next prime is 97430947. The reversal of 97430944 is 44903479.

It is a super-2 number, since 2×974309442 = 18985577697462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97430897 and 97430906.

It is not an unprimeable number, because it can be changed into a prime (97430947) 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, 162357 + ... + 162955.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 297430944 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 97430944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

97430944 is an abundant number, since it is smaller than the sum of its proper divisors (131183456).

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

97430944 is a wasteful number, since it uses less digits than its factorization.

97430944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 97430944 is about 9870.7114231954. The cubic root of 97430944 is about 460.1495166138.

The spelling of 97430944 in words is "ninety-seven million, four hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 68 92 104 136 184 208 221 272 299 368 391 416 442 544 598 599 736 782 884 1196 1198 1564 1768 2392 2396 3128 3536 4784 4792 5083 6256 7072 7787 9568 9584 10166 10183 12512 13777 15574 19168 20332 20366 27554 31148 40664 40732 55108 62296 81328 81464 110216 124592 132379 162656 162928 179101 220432 234209 249184 264758 325856 358202 440864 468418 529516 716404 936836 1059032 1432808 1873672 2118064 2865616 3044717 3747344 4236128 5731232 6089434 7494688 12178868 24357736 48715472 97430944