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97489056 = 2537239607
BaseRepresentation
bin1011100111110…
…01000010100000
320210102221211210
411303321002200
5144424122211
613401310120
72262433440
oct563710240
9223387753
1097489056
1150036a75
1228795340
1317274942
14cd3a120
15885a9a6
hex5cf90a0

97489056 has 96 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 27691776.

The previous prime is 97489037. The next prime is 97489109. The reversal of 97489056 is 65098479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×974890562 = 19008232079542272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 97488996 and 97489014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160305 + ... + 160911.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 297489056 is an apocalyptic number.

97489056 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 97489056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

97489056 is an abundant number, since it is smaller than the sum of its proper divisors (196685664).

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

97489056 is a wasteful number, since it uses less digits than its factorization.

97489056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 97489056 is about 9873.6546425323. The cubic root of 97489056 is about 460.2409827437.

The spelling of 97489056 in words is "ninety-seven million, four hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 607 672 717 956 1214 1434 1673 1821 1912 2428 2868 3346 3642 3824 4249 4856 5019 5736 6692 7284 7648 8498 9712 10038 11472 12747 13384 14568 16996 19424 20076 22944 25494 26768 29136 33992 40152 50988 53536 58272 67984 80304 101976 135968 145073 160608 203952 290146 407904 435219 580292 870438 1015511 1160584 1740876 2031022 2321168 3046533 3481752 4062044 4642336 6093066 6963504 8124088 12186132 13927008 16248176 24372264 32496352 48744528 97489056