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97054752 = 2532334339
BaseRepresentation
bin1011100100011…
…11000000100000
320202121220002110
411302033000200
5144321223002
613344115320
72255644314
oct562170040
9222556073
1097054752
114a86a743
1228605b40
1317152062
14cc65b44
1587c1e6c
hex5c8f020

97054752 has 48 divisors (see below), whose sum is σ = 255921120. Its totient is φ = 32205312.

The previous prime is 97054747. The next prime is 97054753. The reversal of 97054752 is 25745079.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97054752.

It is not an unprimeable number, because it can be changed into a prime (97054753) 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, 20199 + ... + 24537.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 297054752 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 97054752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

97054752 is an abundant number, since it is smaller than the sum of its proper divisors (158866368).

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

97054752 is a wasteful number, since it uses less digits than its factorization.

97054752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 97054752 is about 9851.6370213280. The cubic root of 97054752 is about 459.5565228101.

The spelling of 97054752 in words is "ninety-seven million, fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 4339 5592 7456 8678 11184 13017 17356 22368 26034 34712 52068 69424 104136 138848 208272 416544 1010987 2021974 3032961 4043948 6065922 8087896 12131844 16175792 24263688 32351584 48527376 97054752