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468765900 = 223352173617
BaseRepresentation
bin11011111100001…
…100110011001100
31012200001202221000
4123330030303030
51430001002100
6114303140300
714421305301
oct3374146314
91180052830
10468765900
11220673839
12110ba4690
137616a495
14463850a8
152b248900
hex1bf0cccc

468765900 has 72 divisors (see below), whose sum is σ = 1507004240. Its totient is φ = 125003520.

The previous prime is 468765893. The next prime is 468765901. The reversal of 468765900 is 9567864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (468765901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84109 + ... + 89508.

Almost surely, 2468765900 is an apocalyptic number.

It is an amenable number.

468765900 is an abundant number, since it is smaller than the sum of its proper divisors (1038238340).

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

468765900 is a wasteful number, since it uses less digits than its factorization.

468765900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173640 (or 173627 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 468765900 is about 21651.0022862684. The cubic root of 468765900 is about 776.8169094997.

The spelling of 468765900 in words is "four hundred sixty-eight million, seven hundred sixty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 173617 347234 520851 694468 868085 1041702 1562553 1736170 2083404 2604255 3125106 3472340 4340425 4687659 5208510 6250212 7812765 8680850 9375318 10417020 13021275 15625530 17361700 18750636 23438295 26042550 31251060 39063825 46876590 52085100 78127650 93753180 117191475 156255300 234382950 468765900