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663739296 = 253111736973
BaseRepresentation
bin100111100011111…
…101101110100000
31201020221110010220
4213203331232200
52324404124141
6145510123040
722306455663
oct4743755640
91636843126
10663739296
11310733180
12166350480
13a768485c
14642196da
153d40d766
hex278fdba0

663739296 has 96 divisors (see below), whose sum is σ = 2012568768. Its totient is φ = 189296640.

The previous prime is 663739261. The next prime is 663739303. The reversal of 663739296 is 692937366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535 + ... + 36438.

It is an arithmetic number, because the mean of its divisors is an integer number (20964258).

Almost surely, 2663739296 is an apocalyptic number.

663739296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663739296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006284384).

663739296 is an abundant number, since it is smaller than the sum of its proper divisors (1348829472).

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

663739296 is a wasteful number, since it uses less digits than its factorization.

663739296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37014 (or 37006 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 51.

The square root of 663739296 is about 25763.1383181475. The cubic root of 663739296 is about 872.2999417069.

The spelling of 663739296 in words is "six hundred sixty-three million, seven hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 36973 73946 110919 147892 221838 295784 406703 443676 591568 628541 813406 887352 1183136 1220109 1257082 1626812 1774704 1885623 2440218 2514164 3253624 3549408 3771246 4880436 5028328 6507248 6913951 7542492 9760872 10056656 13014496 13827902 15084984 19521744 20113312 20741853 27655804 30169968 39043488 41483706 55311608 60339936 82967412 110623216 165934824 221246432 331869648 663739296