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47297664 = 273241057
BaseRepresentation
bin1011010001101…
…1010010000000
310021222222012100
42310123102000
544102011124
64405430400
71113011031
oct264332200
9107888170
1047297664
1124775487
1213a0b400
139a503ab
1463d2a88
1542441c9
hex2d1b480

47297664 has 48 divisors (see below), whose sum is σ = 136107270. Its totient is φ = 15765504.

The previous prime is 47297659. The next prime is 47297671. The reversal of 47297664 is 46679274.

It can be written as a sum of positive squares in only one way, i.e., 46131264 + 1166400 = 6792^2 + 1080^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19377 + ... + 21680.

Almost surely, 247297664 is an apocalyptic number.

It is an amenable number.

47297664 is an abundant number, since it is smaller than the sum of its proper divisors (88809606).

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

47297664 is a wasteful number, since it uses less digits than its factorization.

47297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41077 (or 41062 counting only the distinct ones).

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

The square root of 47297664 is about 6877.3297143586. The cubic root of 47297664 is about 361.6428617582.

It can be divided in two parts, 47297 and 664, that added together give a square (47961 = 2192).

The spelling of 47297664 in words is "forty-seven million, two hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 41057 82114 123171 164228 246342 328456 369513 492684 656912 739026 985368 1313824 1478052 1970736 2627648 2956104 3941472 5255296 5912208 7882944 11824416 15765888 23648832 47297664