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56490 = 2357269
BaseRepresentation
bin1101110010101010
32212111020
431302222
53301430
61113310
7323460
oct156252
985436
1056490
1139495
1228836
131c935
1416830
1511b10
hexdcaa

56490 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 12864.

The previous prime is 56489. The next prime is 56501. The reversal of 56490 is 9465.

It is a super-2 number, since 2×564902 = 6382240200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56490.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

256490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

56490 is an abundant number, since it is smaller than the sum of its proper divisors (99030).

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

56490 is a wasteful number, since it uses less digits than its factorization.

56490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56490 is about 237.6762503912. The cubic root of 56490 is about 38.3698874167.

The spelling of 56490 in words is "fifty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 269 538 807 1345 1614 1883 2690 3766 4035 5649 8070 9415 11298 18830 28245 56490