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460075752 = 23326389941
BaseRepresentation
bin11011011011000…
…011001011101000
31012001201021021200
4123123003023220
51420234411002
6113353004200
714254402503
oct3333031350
91161637250
10460075752
112167787a4
1210a0b3660
1374416b96
144516213a
152a5cdb1c
hex1b6c32e8

460075752 has 24 divisors (see below), whose sum is σ = 1246038690. Its totient is φ = 153358560.

The previous prime is 460075751. The next prime is 460075769. The reversal of 460075752 is 257570064.

It can be written as a sum of positive squares in only one way, i.e., 448338276 + 11737476 = 21174^2 + 3426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (460075751) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3194899 + ... + 3195042.

Almost surely, 2460075752 is an apocalyptic number.

It is an amenable number.

460075752 is an abundant number, since it is smaller than the sum of its proper divisors (785962938).

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

460075752 is a wasteful number, since it uses less digits than its factorization.

460075752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389953 (or 6389946 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 460075752 is about 21449.3764944345. The cubic root of 460075752 is about 771.9866347566.

The spelling of 460075752 in words is "four hundred sixty million, seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6389941 12779882 19169823 25559764 38339646 51119528 57509469 76679292 115018938 153358584 230037876 460075752