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481022928 = 24338912511
BaseRepresentation
bin11100101010111…
…101001111010000
31020112010111102000
4130222331033100
51441120213203
6115421554000
714630425131
oct3452751720
91215114360
10481022928
11227585711
12115115900
137886c469
1447c55c88
152c36a4a3
hex1cabd3d0

481022928 has 80 divisors (see below), whose sum is σ = 1396339200. Its totient is φ = 158526720.

The previous prime is 481022923. The next prime is 481022951. The reversal of 481022928 is 829220184.

It is a super-3 number, since 3×4810229283 (a number of 27 digits) contains 333 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 = 481022892 and 481022901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481022921) 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, 32193 + ... + 44703.

It is an arithmetic number, because the mean of its divisors is an integer number (17454240).

Almost surely, 2481022928 is an apocalyptic number.

481022928 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 481022928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698169600).

481022928 is an abundant number, since it is smaller than the sum of its proper divisors (915316272).

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

481022928 is a wasteful number, since it uses less digits than its factorization.

481022928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12617 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 481022928 is about 21932.2349066391. The cubic root of 481022928 is about 783.5293318915.

The spelling of 481022928 in words is "four hundred eighty-one million, twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 4272 4806 6408 9612 12511 12816 19224 25022 37533 38448 50044 75066 100088 112599 150132 200176 225198 300264 337797 450396 600528 675594 900792 1113479 1351188 1801584 2226958 2702376 3340437 4453916 5404752 6680874 8907832 10021311 13361748 17815664 20042622 26723496 30063933 40085244 53446992 60127866 80170488 120255732 160340976 240511464 481022928