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488852928 = 26331012801
BaseRepresentation
bin11101001000110…
…100110111000000
31021001212022011000
4131020310313000
52000121243203
6120301452000
715054116124
oct3510646700
91231768130
10488852928
11230a43493
12117871000
137a3813b5
1448cd3584
152cdb54a3
hex1d234dc0

488852928 has 112 divisors (see below), whose sum is σ = 1451884320. Its totient is φ = 161280000.

The previous prime is 488852927. The next prime is 488852929. The reversal of 488852928 is 829258884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488852927) and next prime (488852929).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488852927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173128 + ... + 175928.

Almost surely, 2488852928 is an apocalyptic number.

488852928 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 488852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725942160).

488852928 is an abundant number, since it is smaller than the sum of its proper divisors (963031392).

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

488852928 is a wasteful number, since it uses less digits than its factorization.

488852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2907 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 488852928 is about 22110.0187245511. The cubic root of 488852928 is about 787.7578511635.

The spelling of 488852928 in words is "four hundred eighty-eight million, eight hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 606 808 864 909 1212 1616 1728 1818 2424 2727 2801 3232 3636 4848 5454 5602 6464 7272 8403 9696 10908 11204 14544 16806 19392 21816 22408 25209 29088 33612 43632 44816 50418 58176 67224 75627 87264 89632 100836 134448 151254 174528 179264 201672 268896 282901 302508 403344 537792 565802 605016 806688 848703 1131604 1210032 1613376 1697406 2263208 2420064 2546109 3394812 4526416 4840128 5092218 6789624 7638327 9052832 10184436 13579248 15276654 18105664 20368872 27158496 30553308 40737744 54316992 61106616 81475488 122213232 162950976 244426464 488852928