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97098336 = 2532615527
BaseRepresentation
bin1011100100110…
…01101001100000
320202201002212200
411302121221200
5144324121321
613345053200
72256215346
oct562315140
9222632780
1097098336
114a89a465
1228627200
1317168b4a
14cc77996
1587ced26
hex5c99a60

97098336 has 72 divisors (see below), whose sum is σ = 280700784. Its totient is φ = 31829760.

The previous prime is 97098319. The next prime is 97098349. The reversal of 97098336 is 63389079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 97098291 and 97098300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14805 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (3898622).

Almost surely, 297098336 is an apocalyptic number.

97098336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140350392).

97098336 is an abundant number, since it is smaller than the sum of its proper divisors (183602448).

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

97098336 is a wasteful number, since it uses less digits than its factorization.

97098336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97098336 is about 9853.8487912084. The cubic root of 97098336 is about 459.6253029356.

The spelling of 97098336 in words is "ninety-seven million, ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5527 5856 8784 11054 16581 17568 22108 33162 44216 49743 66324 88432 99486 132648 176864 198972 265296 337147 397944 530592 674294 795888 1011441 1348588 1591776 2022882 2697176 3034323 4045764 5394352 6068646 8091528 10788704 12137292 16183056 24274584 32366112 48549168 97098336