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97672644 = 22329772777
BaseRepresentation
bin1011101001001…
…01110111000100
320210210021200100
411310211313010
5200001011034
613405244100
72264126616
oct564456704
9223707610
1097672644
11501519a3
1228863630
131730a384
14cd86db6
158895099
hex5d25dc4

97672644 has 36 divisors (see below), whose sum is σ = 247236444. Its totient is φ = 32512512.

The previous prime is 97672621. The next prime is 97672649. The reversal of 97672644 is 44627679.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 41602500 = 7488^2 + 6450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 97672644.

It is not an unprimeable number, because it can be changed into a prime (97672649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33784 + ... + 36560.

It is an arithmetic number, because the mean of its divisors is an integer number (6867679).

Almost surely, 297672644 is an apocalyptic number.

It is an amenable number.

97672644 is an abundant number, since it is smaller than the sum of its proper divisors (149563800).

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

97672644 is a wasteful number, since it uses less digits than its factorization.

97672644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3759 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 97672644 is about 9882.9471312964. The cubic root of 97672644 is about 460.5297048535.

The spelling of 97672644 in words is "ninety-seven million, six hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 977 1954 2777 2931 3908 5554 5862 8331 8793 11108 11724 16662 17586 24993 33324 35172 49986 99972 2713129 5426258 8139387 10852516 16278774 24418161 32557548 48836322 97672644