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486427104 = 253213112893
BaseRepresentation
bin11100111111100…
…100100111100000
31020220022001112200
4130333210213200
51444011131404
6120133453200
715024363552
oct3477444740
91226261480
10486427104
1122a636979
12116aa1200
1379a121b7
14488614d2
152ca86839
hex1cfe49e0

486427104 has 72 divisors (see below), whose sum is σ = 1393944552. Its totient is φ = 160892160.

The previous prime is 486427099. The next prime is 486427127. The reversal of 486427104 is 401724684.

486427104 is a `hidden beast` number, since 4 + 8 + 642 + 7 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4864271042 = 473222655011653632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31282 + ... + 44174.

It is an arithmetic number, because the mean of its divisors is an integer number (19360341).

Almost surely, 2486427104 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 486427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696972276).

486427104 is an abundant number, since it is smaller than the sum of its proper divisors (907517448).

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

486427104 is a wasteful number, since it uses less digits than its factorization.

486427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13040 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 486427104 is about 22055.0924731682. The cubic root of 486427104 is about 786.4526654639.

The spelling of 486427104 in words is "four hundred eighty-six million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 12893 18864 25786 37728 38679 51572 77358 103144 116037 154716 206288 232074 309432 412576 464148 618864 928296 1237728 1688983 1856592 3377966 3713184 5066949 6755932 10133898 13511864 15200847 20267796 27023728 30401694 40535592 54047456 60803388 81071184 121606776 162142368 243213552 486427104