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493059296 = 25175231733
BaseRepresentation
bin11101011000110…
…111110011100000
31021100210000012102
4131120313303200
52002210344141
6120531545532
715134635442
oct3530676340
91240700172
10493059296
11233356824
1211915b2a8
137b1c4b82
14496aa492
152d44699b
hex1d637ce0

493059296 has 48 divisors (see below), whose sum is σ = 1030370544. Its totient is φ = 231450624.

The previous prime is 493059293. The next prime is 493059319. The reversal of 493059296 is 692950394.

It is a self number, because there is not a number n which added to its sum of digits gives 493059296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493059293) 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, 283646 + ... + 285378.

It is an arithmetic number, because the mean of its divisors is an integer number (21466053).

Almost surely, 2493059296 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 493059296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515185272).

493059296 is an abundant number, since it is smaller than the sum of its proper divisors (537311248).

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

493059296 is a wasteful number, since it uses less digits than its factorization.

493059296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 47.

The square root of 493059296 is about 22204.9385497911. The cubic root of 493059296 is about 790.0108399944.

The spelling of 493059296 in words is "four hundred ninety-three million, fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 523 544 1046 1733 2092 3466 4184 6932 8368 8891 13864 16736 17782 27728 29461 35564 55456 58922 71128 117844 142256 235688 284512 471376 906359 942752 1812718 3625436 7250872 14501744 15408103 29003488 30816206 61632412 123264824 246529648 493059296