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664297956 = 223377312037
BaseRepresentation
bin100111100110000…
…110000111100100
31201021222211111000
4213212012013210
52330030013311
6145530113300
722314303510
oct4746060744
91637884430
10664297956
11310a84983
1216657b830
13a781bc1a
1464323140
153d4be056
hex279861e4

664297956 has 96 divisors (see below), whose sum is σ = 1995418880. Its totient is φ = 187183872.

The previous prime is 664297951. The next prime is 664297961. The reversal of 664297956 is 659792466.

It is an interprime number because it is at equal distance from previous prime (664297951) and next prime (664297961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (664297951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49170 + ... + 61206.

Almost surely, 2664297956 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 664297956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997709440).

664297956 is an abundant number, since it is smaller than the sum of its proper divisors (1331120924).

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

664297956 is a wasteful number, since it uses less digits than its factorization.

664297956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12130 (or 12122 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 664297956 is about 25773.9782726687. The cubic root of 664297956 is about 872.5446072601.

The spelling of 664297956 in words is "six hundred sixty-four million, two hundred ninety-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2628 3066 3942 4599 6132 7884 9198 12037 13797 18396 24074 27594 36111 48148 55188 72222 84259 108333 144444 168518 216666 252777 324999 337036 433332 505554 649998 758331 878701 1011108 1299996 1516662 1757402 2274993 2636103 3033324 3514804 4549986 5272206 6150907 7908309 9099972 10544412 12301814 15816618 18452721 23724927 24603628 31633236 36905442 47449854 55358163 73810884 94899708 110716326 166074489 221432652 332148978 664297956