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495789560 = 23575333409
BaseRepresentation
bin11101100011010…
…010010111111000
31021112220201102022
4131203102113320
52003410231220
6121110254012
715200066420
oct3543222770
91245821368
10495789560
11234951042
1211a057308
137b93c806
1449bbb480
152d7d5925
hex1d8d25f8

495789560 has 64 divisors (see below), whose sum is σ = 1298980800. Its totient is φ = 166772736.

The previous prime is 495789557. The next prime is 495789563. The reversal of 495789560 is 65987594.

It is an interprime number because it is at equal distance from previous prime (495789557) and next prime (495789563).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495789563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (20296575).

Almost surely, 2495789560 is an apocalyptic number.

495789560 is a gapful number since it is divisible by the number (40) 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 495789560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649490400).

495789560 is an abundant number, since it is smaller than the sum of its proper divisors (803191240).

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

495789560 is a wasteful number, since it uses less digits than its factorization.

495789560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33480 (or 33476 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 53.

The square root of 495789560 is about 22266.3324326212. The cubic root of 495789560 is about 791.4663573486.

The spelling of 495789560 in words is "four hundred ninety-five million, seven hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 33409 66818 133636 167045 233863 267272 334090 467726 668180 935452 1169315 1336360 1770677 1870904 2338630 3541354 4677260 7082708 8853385 9354520 12394739 14165416 17706770 24789478 35413540 49578956 61973695 70827080 99157912 123947390 247894780 495789560