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97928064 = 2732132503
BaseRepresentation
bin1011101011001…
…00001110000000
320211021021001100
411311210032000
5200032144224
613414534400
72266242363
oct565441600
9224237040
1097928064
1150306893
1228967400
1317399700
14d0120da
1588e5ac9
hex5d64380

97928064 has 144 divisors (see below), whose sum is σ = 305749080. Its totient is φ = 30071808.

The previous prime is 97928057. The next prime is 97928081. The reversal of 97928064 is 46082979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 194437 + ... + 194939.

Almost surely, 297928064 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 97928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152874540).

97928064 is an abundant number, since it is smaller than the sum of its proper divisors (207821016).

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

97928064 is a wasteful number, since it uses less digits than its factorization.

97928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97928064 is about 9895.8609529439. The cubic root of 97928064 is about 460.9307933120.

The spelling of 97928064 in words is "ninety-seven million, nine hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 503 507 576 624 676 832 936 1006 1014 1152 1248 1352 1509 1521 1664 1872 2012 2028 2496 2704 3018 3042 3744 4024 4056 4527 4992 5408 6036 6084 6539 7488 8048 8112 9054 10816 12072 12168 13078 14976 16096 16224 18108 19617 21632 24144 24336 26156 32192 32448 36216 39234 48288 48672 52312 58851 64384 64896 72432 78468 85007 96576 97344 104624 117702 144864 156936 170014 193152 194688 209248 235404 255021 289728 313872 340028 418496 470808 510042 579456 627744 680056 765063 836992 941616 1020084 1255488 1360112 1530126 1883232 2040168 2510976 2720224 3060252 3766464 4080336 5440448 6120504 7532928 8160672 10880896 12241008 16321344 24482016 32642688 48964032 97928064