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97007144 = 2313932761
BaseRepresentation
bin1011100100000…
…11011000101000
320202112110210012
411302003120220
5144313212034
613343111052
72255355443
oct562033050
9222473705
1097007144
114a8379a3
12285a2488
13171364a0
14cc5265a
1587b2cce
hex5c83628

97007144 has 16 divisors (see below), whose sum is σ = 195880020. Its totient is φ = 44772480.

The previous prime is 97007143. The next prime is 97007159. The reversal of 97007144 is 44170079.

It can be written as a sum of positive squares in 2 ways, for example, as 96786244 + 220900 = 9838^2 + 470^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97007144.

It is not an unprimeable number, because it can be changed into a prime (97007143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466277 + ... + 466484.

Almost surely, 297007144 is an apocalyptic number.

It is an amenable number.

97007144 is an abundant number, since it is smaller than the sum of its proper divisors (98872876).

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

97007144 is a wasteful number, since it uses less digits than its factorization.

97007144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932780 (or 932776 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 97007144 is about 9849.2204767687. The cubic root of 97007144 is about 459.4813688555.

The spelling of 97007144 in words is "ninety-seven million, seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 932761 1865522 3731044 7462088 12125893 24251786 48503572 97007144