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492275328 = 27310711981
BaseRepresentation
bin11101010101111…
…000011010000000
31021022022011210120
4131111320122000
52002010302303
6120503100240
715125162016
oct3525703200
91238264716
10492275328
11232970816
12118a41680
137acac09c
14495448b6
152d33e553
hex1d578680

492275328 has 64 divisors (see below), whose sum is σ = 1319937120. Its totient is φ = 162544640.

The previous prime is 492275317. The next prime is 492275339. The reversal of 492275328 is 823572294.

It is an interprime number because it is at equal distance from previous prime (492275317) and next prime (492275339).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 492275328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35098 + ... + 47078.

Almost surely, 2492275328 is an apocalyptic number.

492275328 is a gapful number since it is divisible by the number (48) 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 492275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659968560).

492275328 is an abundant number, since it is smaller than the sum of its proper divisors (827661792).

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

492275328 is a wasteful number, since it uses less digits than its factorization.

492275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105 (or 12093 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 492275328 is about 22187.2785172044. The cubic root of 492275328 is about 789.5919101504.

The spelling of 492275328 in words is "four hundred ninety-two million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 11981 13696 20544 23962 35943 41088 47924 71886 95848 143772 191696 287544 383392 575088 766784 1150176 1281967 1533568 2300352 2563934 3845901 4600704 5127868 7691802 10255736 15383604 20511472 30767208 41022944 61534416 82045888 123068832 164091776 246137664 492275328