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468013608 = 23328297841
BaseRepresentation
bin11011111001010…
…101001000101000
31012121122112222100
4123321111020220
51424302413413
6114235053400
714412023106
oct3371251050
91177575870
10468013608
112201aa607
121108a1260
1375c65c3a
144622ac76
152b14aa73
hex1be55228

468013608 has 48 divisors (see below), whose sum is σ = 1269227700. Its totient is φ = 155796480.

The previous prime is 468013607. The next prime is 468013657. The reversal of 468013608 is 806310864.

It is a happy number.

468013608 is a `hidden beast` number, since 46 + 8 + 0 + 1 + 3 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 467337924 + 675684 = 21618^2 + 822^2 .

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

It is not an unprimeable number, because it can be changed into a prime (468013607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55768 + ... + 63608.

Almost surely, 2468013608 is an apocalyptic number.

It is an amenable number.

468013608 is an abundant number, since it is smaller than the sum of its proper divisors (801214092).

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

468013608 is a wasteful number, since it uses less digits than its factorization.

468013608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8682 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468013608 is about 21633.6221655089. The cubic root of 468013608 is about 776.4011326384.

The spelling of 468013608 in words is "four hundred sixty-eight million, thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 829 1658 2487 3316 4974 6632 7461 7841 9948 14922 15682 19896 23523 29844 31364 47046 59688 62728 70569 94092 141138 188184 282276 564552 6500189 13000378 19500567 26000756 39001134 52001512 58501701 78002268 117003402 156004536 234006804 468013608