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97908264 = 23341391087
BaseRepresentation
bin1011101010111…
…11011000101000
320211020020220000
411311133120220
5200031031024
613414303000
72266130556
oct565373050
9224206800
1097908264
11502a2a23
1228957a60
13173906ac
14d008bd6
1588decc9
hex5d5f628

97908264 has 80 divisors (see below), whose sum is σ = 276460800. Its totient is φ = 32371488.

The previous prime is 97908203. The next prime is 97908271. The reversal of 97908264 is 46280979.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89529 + ... + 90615.

It is an arithmetic number, because the mean of its divisors is an integer number (3455760).

Almost surely, 297908264 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 97908264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230400).

97908264 is an abundant number, since it is smaller than the sum of its proper divisors (178552536).

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

97908264 is a wasteful number, since it uses less digits than its factorization.

97908264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1231 counting only the distinct ones).

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

The square root of 97908264 is about 9894.8604841099. The cubic root of 97908264 is about 460.8997261371.

The spelling of 97908264 in words is "ninety-seven million, nine hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1087 1112 1251 1668 2174 2502 3261 3336 3753 4348 5004 6522 7506 8696 9783 10008 11259 13044 15012 19566 22518 26088 29349 30024 39132 45036 58698 78264 88047 90072 117396 151093 176094 234792 302186 352188 453279 604372 704376 906558 1208744 1359837 1813116 2719674 3626232 4079511 5439348 8159022 10878696 12238533 16318044 24477066 32636088 48954132 97908264