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488974752 = 2533780849
BaseRepresentation
bin11101001001010…
…010100110100000
31021002002111021000
4131021102212200
52000134143002
6120304232000
715055134240
oct3511224640
91232074230
10488974752
11231016a72
1211790b600
137a3c4996
1448d25b20
152cddb61c
hex1d2529a0

488974752 has 96 divisors (see below), whose sum is σ = 1629936000. Its totient is φ = 139705344.

The previous prime is 488974741. The next prime is 488974817. The reversal of 488974752 is 257479884.

It is a happy number.

488974752 is a `hidden beast` number, since 4 + 88 + 97 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 34377 + ... + 46472.

It is an arithmetic number, because the mean of its divisors is an integer number (16978500).

Almost surely, 2488974752 is an apocalyptic number.

488974752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

488974752 is an abundant number, since it is smaller than the sum of its proper divisors (1140961248).

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

488974752 is a wasteful number, since it uses less digits than its factorization.

488974752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80875 (or 80861 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 488974752 is about 22112.7735031135. The cubic root of 488974752 is about 787.8232831412.

The spelling of 488974752 in words is "four hundred eighty-eight million, nine hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 80849 161698 242547 323396 485094 565943 646792 727641 970188 1131886 1293584 1455282 1697829 1940376 2182923 2263772 2587168 2910564 3395658 3880752 4365846 4527544 5093487 5821128 6791316 7761504 8731692 9055088 10186974 11642256 13582632 15280461 17463384 18110176 20373948 23284512 27165264 30560922 34926768 40747896 54330528 61121844 69853536 81495792 122243688 162991584 244487376 488974752