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97450656 = 2531277993
BaseRepresentation
bin1011100111011…
…11101010100000
320210101000011120
411303233222200
5144421410111
613400412240
72262213462
oct563575240
9223330146
1097450656
1150010136
1228777080
1317260314
14cd2a132
15884e406
hex5cefaa0

97450656 has 48 divisors (see below), whose sum is σ = 257854464. Its totient is φ = 32223744.

The previous prime is 97450651. The next prime is 97450657. The reversal of 97450656 is 65605479.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (97450651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8196 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (5371968).

Almost surely, 297450656 is an apocalyptic number.

97450656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97450656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128927232).

97450656 is an abundant number, since it is smaller than the sum of its proper divisors (160403808).

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

97450656 is a wasteful number, since it uses less digits than its factorization.

97450656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 97450656 is about 9871.7098822848. The cubic root of 97450656 is about 460.1805466448.

The spelling of 97450656 in words is "ninety-seven million, four hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 7993 12192 15986 23979 31972 47958 63944 95916 127888 191832 255776 383664 767328 1015111 2030222 3045333 4060444 6090666 8120888 12181332 16241776 24362664 32483552 48725328 97450656