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493957696 = 2629377193
BaseRepresentation
bin11101011100010…
…011001001000000
31021102110122120111
4131130103021000
52002423121241
6121003121104
715145366621
oct3534231100
91242418514
10493957696
1123390a801
12119513194
137b44aa7b
1449861a48
152d572c81
hex1d713240

493957696 has 56 divisors (see below), whose sum is σ = 1041547320. Its totient is φ = 231985152.

The previous prime is 493957657. The next prime is 493957699. The reversal of 493957696 is 696759394.

It can be written as a sum of positive squares in 4 ways, for example, as 62980096 + 430977600 = 7936^2 + 20760^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 493957696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493957699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65076 + ... + 72268.

Almost surely, 2493957696 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 493957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520773660).

493957696 is an abundant number, since it is smaller than the sum of its proper divisors (547589624).

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

493957696 is a wasteful number, since it uses less digits than its factorization.

493957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7261 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 58.

The square root of 493957696 is about 22225.1590770460. The cubic root of 493957696 is about 790.4903733257.

The spelling of 493957696 in words is "four hundred ninety-three million, nine hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 148 232 296 464 592 928 1073 1184 1856 2146 2368 4292 7193 8584 14386 17168 28772 34336 57544 68672 115088 208597 230176 266141 417194 460352 532282 834388 1064564 1668776 2129128 3337552 4258256 6675104 7718089 8516512 13350208 15436178 17033024 30872356 61744712 123489424 246978848 493957696