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97289904 = 24331151433
BaseRepresentation
bin1011100110010…
…00011010110000
320210001211122210
411303020122300
5144401234104
613353132120
72260644015
oct563103260
9223054583
1097289904
114aa10388
12286ba040
13172050ba
14ccc770c
15881b989
hex5cc86b0

97289904 has 80 divisors (see below), whose sum is σ = 261761024. Its totient is φ = 31104000.

The previous prime is 97289903. The next prime is 97289911. The reversal of 97289904 is 40998279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (97289903) 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, 224472 + ... + 224904.

Almost surely, 297289904 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 97289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130880512).

97289904 is an abundant number, since it is smaller than the sum of its proper divisors (164471120).

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

97289904 is a wasteful number, since it uses less digits than its factorization.

97289904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 97289904 is about 9863.5644672704. The cubic root of 97289904 is about 459.9273735372.

The spelling of 97289904 in words is "ninety-seven million, two hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 151 186 248 302 372 433 453 496 604 744 866 906 1208 1299 1488 1732 1812 2416 2598 3464 3624 4681 5196 6928 7248 9362 10392 13423 14043 18724 20784 26846 28086 37448 40269 53692 56172 65383 74896 80538 107384 112344 130766 161076 196149 214768 224688 261532 322152 392298 523064 644304 784596 1046128 1569192 2026873 3138384 4053746 6080619 8107492 12161238 16214984 24322476 32429968 48644952 97289904