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468493704 = 23327237297
BaseRepresentation
bin11011111011001…
…010010110001000
31012122112221112200
4123323022112020
51424413244304
6114253240200
714416062600
oct3373122610
91178487480
10468493704
112204a8288
12110a93060
13760a3613
1446313c00
152b1e2e39
hex1beca588

468493704 has 216 divisors, whose sum is σ = 1532602890. Its totient is φ = 128894976.

The previous prime is 468493691. The next prime is 468493721. The reversal of 468493704 is 407394864.

It can be written as a sum of positive squares in 3 ways, for example, as 467856900 + 636804 = 21630^2 + 798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 468493704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4829784 + ... + 4829880.

Almost surely, 2468493704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468493704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766301445).

468493704 is an abundant number, since it is smaller than the sum of its proper divisors (1064109186).

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

468493704 is a wasteful number, since it uses less digits than its factorization.

468493704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 468493704 is about 21644.7153827441. The cubic root of 468493704 is about 776.6665235642. Note that the first 3 decimals are identical.

The spelling of 468493704 in words is "four hundred sixty-eight million, four hundred ninety-three thousand, seven hundred four".