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468033660 = 223353173383
BaseRepresentation
bin11011111001011…
…010000001111100
31012121200120111000
4123321122001330
51424304034120
6114235330300
714412135423
oct3371320174
91177616430
10468033660
11220213686
121108b0990
1375c720c3
14462342ba
152b151990
hex1be5a07c

468033660 has 192 divisors, whose sum is σ = 1527644160. Its totient is φ = 118817280.

The previous prime is 468033649. The next prime is 468033673. The reversal of 468033660 is 66330864.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221829 + ... + 1222211.

It is an arithmetic number, because the mean of its divisors is an integer number (7956480).

Almost surely, 2468033660 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 468033660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763822080).

468033660 is an abundant number, since it is smaller than the sum of its proper divisors (1059610500).

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

468033660 is a wasteful number, since it uses less digits than its factorization.

468033660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 468033660 is about 21634.0856058212. The cubic root of 468033660 is about 776.4122207585.

The spelling of 468033660 in words is "four hundred sixty-eight million, thirty-three thousand, six hundred sixty".