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97349664 = 2533727407
BaseRepresentation
bin1011100110101…
…11000000100000
320210011212122010
411303113000200
5144410142124
613354312520
72261313156
oct563270040
9223155563
1097349664
114aa51275
1228728740
1317226369
14cd013d6
15882e529
hex5cd7020

97349664 has 48 divisors (see below), whose sum is σ = 262459008. Its totient is φ = 31571712.

The previous prime is 97349653. The next prime is 97349689. The reversal of 97349664 is 46694379.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10152 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (5467896).

Almost surely, 297349664 is an apocalyptic number.

It is an amenable number.

97349664 is an abundant number, since it is smaller than the sum of its proper divisors (165109344).

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

97349664 is a wasteful number, since it uses less digits than its factorization.

97349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27457 (or 27449 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 97349664 is about 9866.5933330608. The cubic root of 97349664 is about 460.0215238826.

The spelling of 97349664 in words is "ninety-seven million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 27407 54814 82221 109628 164442 219256 328884 438512 657768 877024 1014059 1315536 2028118 2631072 3042177 4056236 6084354 8112472 12168708 16224944 24337416 32449888 48674832 97349664