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97555104 = 253461617
BaseRepresentation
bin1011101000010…
…01001010100000
320210120022110000
411310021022200
5144433230404
613402540000
72263130133
oct564111240
9223508400
1097555104
1150081659
1228807600
1317298a1a
14cd5621a
158870339
hex5d092a0

97555104 has 120 divisors (see below), whose sum is σ = 292082868. Its totient is φ = 31933440.

The previous prime is 97555103. The next prime is 97555123. The reversal of 97555104 is 40155579.

97555104 is a `hidden beast` number, since 97 + 55 + 510 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 31945104 = 8100^2 + 5652^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97555103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157804 + ... + 158420.

Almost surely, 297555104 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 97555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146041434).

97555104 is an abundant number, since it is smaller than the sum of its proper divisors (194527764).

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

97555104 is a wasteful number, since it uses less digits than its factorization.

97555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 97555104 is about 9876.9987344335. The cubic root of 97555104 is about 460.3448957211.

The spelling of 97555104 in words is "ninety-seven million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 617 648 732 864 976 1098 1234 1296 1464 1647 1851 1952 2196 2468 2592 2928 3294 3702 4392 4936 4941 5553 5856 6588 7404 8784 9872 9882 11106 13176 14808 16659 17568 19744 19764 22212 26352 29616 33318 37637 39528 44424 49977 52704 59232 66636 75274 79056 88848 99954 112911 133272 150548 158112 177696 199908 225822 266544 301096 338733 399816 451644 533088 602192 677466 799632 903288 1016199 1204384 1354932 1599264 1806576 2032398 2709864 3048597 3613152 4064796 5419728 6097194 8129592 10839456 12194388 16259184 24388776 32518368 48777552 97555104