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488026752 = 2731774759
BaseRepresentation
bin11101000101101…
…011001010000000
31021000022022211220
4131011223022000
51444413324002
6120232035040
715044105343
oct3505531200
91230268756
10488026752
112305297a4
12117532a80
137a152335
1448b5a45a
152cca07bc
hex1d16b280

488026752 has 64 divisors (see below), whose sum is σ = 1372593600. Its totient is φ = 153104384.

The previous prime is 488026739. The next prime is 488026757. The reversal of 488026752 is 257620884.

It is a happy number.

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

It is a super-2 number, since 2×4880267522 = 476340221335339008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488026757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30852 + ... + 43907.

It is an arithmetic number, because the mean of its divisors is an integer number (21446775).

Almost surely, 2488026752 is an apocalyptic number.

It is an amenable number.

488026752 is an abundant number, since it is smaller than the sum of its proper divisors (884566848).

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

488026752 is a wasteful number, since it uses less digits than its factorization.

488026752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74793 (or 74781 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 488026752 is about 22091.3275291459. The cubic root of 488026752 is about 787.3138228565.

The spelling of 488026752 in words is "four hundred eighty-eight million, twenty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 74759 149518 224277 299036 448554 598072 897108 1196144 1270903 1794216 2392288 2541806 3588432 3812709 4784576 5083612 7176864 7625418 9569152 10167224 14353728 15250836 20334448 28707456 30501672 40668896 61003344 81337792 122006688 162675584 244013376 488026752