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460624968 = 2335236947
BaseRepresentation
bin11011011101001…
…001010001001000
31012002202011200000
4123131021101020
51420404444333
6113412443000
714262150636
oct3335112110
91162664600
10460624968
112170133a1
1210a319460
1374579b6b
1445266356
152a68b713
hex1b749448

460624968 has 48 divisors (see below), whose sum is σ = 1293736080. Its totient is φ = 153541008.

The previous prime is 460624937. The next prime is 460624991. The reversal of 460624968 is 869426064.

It is a super-2 number, since 2×4606249682 = 424350722290002048, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 116530 + ... + 120417.

It is an arithmetic number, because the mean of its divisors is an integer number (26952835).

Almost surely, 2460624968 is an apocalyptic number.

It is an amenable number.

460624968 is an abundant number, since it is smaller than the sum of its proper divisors (833111112).

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

460624968 is a wasteful number, since it uses less digits than its factorization.

460624968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236968 (or 236952 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 460624968 is about 21462.1752858372. The cubic root of 460624968 is about 772.2936992706.

The spelling of 460624968 in words is "four hundred sixty million, six hundred twenty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 236947 473894 710841 947788 1421682 1895576 2132523 2843364 4265046 5686728 6397569 8530092 12795138 17060184 19192707 25590276 38385414 51180552 57578121 76770828 115156242 153541656 230312484 460624968