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492130944 = 2733157907
BaseRepresentation
bin11101010101010…
…101001010000000
31021022000211202000
4131111111022000
52001441142234
6120500024000
715124021044
oct3525251200
91238024660
10492130944
11232882298
12118992000
137ac5b456
1449508024
152d311899
hex1d555280

492130944 has 128 divisors (see below), whose sum is σ = 1463332800. Its totient is φ = 162819072.

The previous prime is 492130907. The next prime is 492130963. The reversal of 492130944 is 449031294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4921309442 = 484385732084662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 492130899 and 492130908.

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, 542139 + ... + 543045.

Almost surely, 2492130944 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 492130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731666400).

492130944 is an abundant number, since it is smaller than the sum of its proper divisors (971201856).

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

492130944 is a wasteful number, since it uses less digits than its factorization.

492130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 492130944 is about 22184.0245221646. The cubic root of 492130944 is about 789.5147070220.

The spelling of 492130944 in words is "four hundred ninety-two million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 157 192 216 288 314 384 432 471 576 628 864 907 942 1152 1256 1413 1728 1814 1884 2512 2721 2826 3456 3628 3768 4239 5024 5442 5652 7256 7536 8163 8478 10048 10884 11304 14512 15072 16326 16956 20096 21768 22608 24489 29024 30144 32652 33912 43536 45216 48978 58048 60288 65304 67824 87072 90432 97956 116096 130608 135648 142399 174144 180864 195912 261216 271296 284798 348288 391824 427197 522432 542592 569596 783648 854394 1044864 1139192 1281591 1567296 1708788 2278384 2563182 3134592 3417576 3844773 4556768 5126364 6835152 7689546 9113536 10252728 13670304 15379092 18227072 20505456 27340608 30758184 41010912 54681216 61516368 82021824 123032736 164043648 246065472 492130944