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97981296 = 2437331881
BaseRepresentation
bin1011101011100…
…01001101110000
320211100222001220
411311301031300
5200040400141
613420025040
72266553520
oct565611560
9224328056
1097981296
1150342886
1228992180
13173b79ca
14d027680
158906766
hex5d71370

97981296 has 80 divisors (see below), whose sum is σ = 290481408. Its totient is φ = 27878400.

The previous prime is 97981243. The next prime is 97981321. The reversal of 97981296 is 69218979.

It is a happy number.

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, 110776 + ... + 111656.

Almost surely, 297981296 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 97981296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145240704).

97981296 is an abundant number, since it is smaller than the sum of its proper divisors (192500112).

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

97981296 is a wasteful number, since it uses less digits than its factorization.

97981296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 97981296 is about 9898.5501968723. The cubic root of 97981296 is about 461.0142961830.

The spelling of 97981296 in words is "ninety-seven million, nine hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 881 993 1324 1762 1986 2317 2643 2648 3524 3972 4634 5286 5296 6167 6951 7048 7944 9268 10572 12334 13902 14096 15888 18501 18536 21144 24668 27804 37002 37072 42288 49336 55608 74004 98672 111216 148008 291611 296016 583222 874833 1166444 1749666 2041277 2332888 3499332 4082554 4665776 6123831 6998664 8165108 12247662 13997328 16330216 24495324 32660432 48990648 97981296