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97425960 = 23354379239
BaseRepresentation
bin1011100111010…
…01101000101000
320210022202021220
411303221220220
5144420112320
613400102040
72262051462
oct563515050
9223282256
1097425960
114aaa3625
1228764920
1317251cc8
14cd21132
158846e40
hex5ce9a28

97425960 has 128 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 24950016.

The previous prime is 97425959. The next prime is 97426027. The reversal of 97425960 is 6952479.

It is a super-4 number, since 4×974259604 (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407521 + ... + 407759.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 297425960 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 97425960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

97425960 is an abundant number, since it is smaller than the sum of its proper divisors (206702040).

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

97425960 is a wasteful number, since it uses less digits than its factorization.

97425960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 97425960 is about 9870.4589558946. The cubic root of 97425960 is about 460.1416702897.

The spelling of 97425960 in words is "ninety-seven million, four hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 79 86 120 129 158 172 215 237 239 258 316 344 395 430 474 478 516 632 645 717 790 860 948 956 1032 1185 1195 1290 1434 1580 1720 1896 1912 2370 2390 2580 2868 3160 3397 3585 4740 4780 5160 5736 6794 7170 9480 9560 10191 10277 13588 14340 16985 18881 20382 20554 27176 28680 30831 33970 37762 40764 41108 50955 51385 56643 61662 67940 75524 81528 82216 94405 101910 102770 113286 123324 135880 151048 154155 188810 203820 205540 226572 246648 283215 308310 377620 407640 411080 453144 566430 616620 755240 811883 1132860 1233240 1623766 2265720 2435649 3247532 4059415 4871298 6495064 8118830 9742596 12178245 16237660 19485192 24356490 32475320 48712980 97425960