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468856640 = 2657209311
BaseRepresentation
bin11011111100100…
…010111101000000
31012200020101101202
4123330202331000
51430011403030
6114305120332
714422133660
oct3374427500
91180211352
10468856640
11220725a2a
121110290a8
137619c885
14463aa1a0
152b265745
hex1bf22f40

468856640 has 56 divisors (see below), whose sum is σ = 1275965952. Its totient is φ = 160750080.

The previous prime is 468856639. The next prime is 468856693. The reversal of 468856640 is 46658864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102416 + ... + 106895.

Almost surely, 2468856640 is an apocalyptic number.

468856640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468856640 is an abundant number, since it is smaller than the sum of its proper divisors (807109312).

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

468856640 is a wasteful number, since it uses less digits than its factorization.

468856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209335 (or 209325 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The square root of 468856640 is about 21653.0976998673. The cubic root of 468856640 is about 776.8670296262.

The spelling of 468856640 in words is "four hundred sixty-eight million, eight hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 209311 418622 837244 1046555 1465177 1674488 2093110 2930354 3348976 4186220 5860708 6697952 7325885 8372440 11721416 13395904 14651770 16744880 23442832 29303540 33489760 46885664 58607080 66979520 93771328 117214160 234428320 468856640