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97100192 = 2571743593
BaseRepresentation
bin1011100100110…
…10000110100000
320202201012102102
411302122012200
5144324201232
613345105532
72256223640
oct562320640
9222635372
1097100192
114a8a08a2
12286282a8
1317169947
14cc78520
1587d0662
hex5c9a1a0

97100192 has 96 divisors (see below), whose sum is σ = 237105792. Its totient is φ = 38191104.

The previous prime is 97100191. The next prime is 97100233. The reversal of 97100192 is 29100179.

It is not an unprimeable number, because it can be changed into a prime (97100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163448 + ... + 164040.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 297100192 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 97100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896).

97100192 is an abundant number, since it is smaller than the sum of its proper divisors (140005600).

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

97100192 is a wasteful number, since it uses less digits than its factorization.

97100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 97100192 is about 9853.9429671579. The cubic root of 97100192 is about 459.6282314414.

The spelling of 97100192 in words is "ninety-seven million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 68 86 112 119 136 172 224 238 272 301 344 476 544 593 602 688 731 952 1186 1204 1376 1462 1904 2372 2408 2924 3808 4151 4744 4816 5117 5848 8302 9488 9632 10081 10234 11696 16604 18976 20162 20468 23392 25499 33208 40324 40936 50998 66416 70567 80648 81872 101996 132832 141134 161296 163744 178493 203992 282268 322592 356986 407984 433483 564536 713972 815968 866966 1129072 1427944 1733932 2258144 2855888 3034381 3467864 5711776 6068762 6935728 12137524 13871456 24275048 48550096 97100192