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97387008 = 293194771
BaseRepresentation
bin1011100111000…
…00001000000000
320210020202212020
411303200020000
5144412341013
613355201440
72261530065
oct563401000
9223222766
1097387008
114aa77334
1228746280
131723a364
14cd10c6c
15883a623
hex5ce0200

97387008 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 29675520.

The previous prime is 97387001. The next prime is 97387009. The reversal of 97387008 is 80078379.

It is not an unprimeable number, because it can be changed into a prime (97387001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371613 + ... + 1371683.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 297387008 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 97387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

97387008 is an abundant number, since it is smaller than the sum of its proper divisors (185452032).

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

97387008 is a wasteful number, since it uses less digits than its factorization.

97387008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 97387008 is about 9868.4855981047. The cubic root of 97387008 is about 460.0803388351.

The spelling of 97387008 in words is "ninety-seven million, three hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 71 76 94 96 114 128 141 142 152 188 192 213 228 256 282 284 304 376 384 426 456 512 564 568 608 752 768 852 893 912 1128 1136 1216 1349 1504 1536 1704 1786 1824 2256 2272 2432 2679 2698 3008 3337 3408 3572 3648 4047 4512 4544 4864 5358 5396 6016 6674 6816 7144 7296 8094 9024 9088 9728 10011 10716 10792 12032 13348 13632 14288 14592 16188 18048 18176 20022 21432 21584 24064 26696 27264 28576 29184 32376 36096 36352 40044 42864 43168 53392 54528 57152 63403 64752 72192 80088 85728 86336 106784 109056 114304 126806 129504 160176 171456 172672 190209 213568 228608 253612 259008 320352 342912 345344 380418 427136 457216 507224 518016 640704 685824 690688 760836 854272 1014448 1036032 1281408 1371648 1521672 1708544 2028896 2072064 2562816 3043344 4057792 5125632 6086688 8115584 12173376 16231168 24346752 32462336 48693504 97387008