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488927304 = 2332192411483
BaseRepresentation
bin11101001001000…
…111000001001000
31021002000002011200
4131021013001020
52000131133204
6120303224200
715054546015
oct3511070110
91232002150
10488927304
11230a94358
121178a8060
137a3a91c8
1448d1270c
152cdcc539
hex1d247048

488927304 has 96 divisors (see below), whose sum is σ = 1400599200. Its totient is φ = 153653760.

The previous prime is 488927303. The next prime is 488927311. The reversal of 488927304 is 403729884.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 488927304.

It is not an unprimeable number, because it can be changed into a prime (488927303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328947 + ... + 330429.

It is an arithmetic number, because the mean of its divisors is an integer number (14589575).

Almost surely, 2488927304 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 488927304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700299600).

488927304 is an abundant number, since it is smaller than the sum of its proper divisors (911671896).

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

488927304 is a wasteful number, since it uses less digits than its factorization.

488927304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 488927304 is about 22111.7006130239. The cubic root of 488927304 is about 787.7977999930.

The spelling of 488927304 in words is "four hundred eighty-eight million, nine hundred twenty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 241 342 456 482 684 723 964 1368 1446 1483 1928 2169 2892 2966 4338 4449 4579 5784 5932 8676 8898 9158 11864 13347 13737 17352 17796 18316 26694 27474 28177 35592 36632 41211 53388 54948 56354 82422 84531 106776 109896 112708 164844 169062 225416 253593 329688 338124 357403 507186 676248 714806 1014372 1072209 1429612 2028744 2144418 2859224 3216627 4288836 6433254 6790657 8577672 12866508 13581314 20371971 25733016 27162628 40743942 54325256 61115913 81487884 122231826 162975768 244463652 488927304