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97114816 = 263121579
BaseRepresentation
bin1011100100111…
…01101011000000
320202201221111001
411302131223000
5144330133231
613345301344
72256314401
oct562355300
9222657431
1097114816
114a900887
1228634854
13171734b6
14cc7d9a8
1587d4b61
hex5c9dac0

97114816 has 42 divisors (see below), whose sum is σ = 199255380. Its totient is φ = 46961280.

The previous prime is 97114793. The next prime is 97114819. The reversal of 97114816 is 61841179.

It is not an unprimeable number, because it can be changed into a prime (97114819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60715 + ... + 62293.

Almost surely, 297114816 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 97114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99627690).

97114816 is an abundant number, since it is smaller than the sum of its proper divisors (102140564).

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

97114816 is a wasteful number, since it uses less digits than its factorization.

97114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1612 counting only the distinct ones).

The product of its digits is 12096, while the sum is 37.

The square root of 97114816 is about 9854.6849772075. The cubic root of 97114816 is about 459.6513047423.

The spelling of 97114816 in words is "ninety-seven million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1579 1922 1984 3158 3844 6316 7688 12632 15376 25264 30752 48949 50528 61504 97898 101056 195796 391592 783184 1517419 1566368 3034838 3132736 6069676 12139352 24278704 48557408 97114816