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97054944 = 2537144427
BaseRepresentation
bin1011100100011…
…11000011100000
320202121220100120
411302033003200
5144321224234
613344120240
72255645010
oct562170340
9222556316
1097054944
114a86a8a8
1228606080
131715217c
14cc65c40
1587c2049
hex5c8f0e0

97054944 has 48 divisors (see below), whose sum is σ = 291166848. Its totient is φ = 27729792.

The previous prime is 97054901. The next prime is 97054949. The reversal of 97054944 is 44945079.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 97054896 and 97054905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97054949) 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, 71542 + ... + 72885.

It is an arithmetic number, because the mean of its divisors is an integer number (6065976).

Almost surely, 297054944 is an apocalyptic number.

It is an amenable number.

97054944 is an abundant number, since it is smaller than the sum of its proper divisors (194111904).

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

97054944 is a wasteful number, since it uses less digits than its factorization.

97054944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144447 (or 144439 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 97054944 is about 9851.6467658966. The cubic root of 97054944 is about 459.5568258514.

The spelling of 97054944 in words is "ninety-seven million, fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 144427 288854 433281 577708 866562 1010989 1155416 1733124 2021978 2310832 3032967 3466248 4043956 4621664 6065934 6932496 8087912 12131868 13864992 16175824 24263736 32351648 48527472 97054944