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468921645 = 32510420481
BaseRepresentation
bin11011111100110…
…010110100101101
31012200100200120100
4123330302310231
51430020443040
6114310341313
714422524333
oct3374626455
91180320510
10468921645
1122076a855
1211105a839
13761c333a
14463c5b53
152b279b30
hex1bf32d2d

468921645 has 12 divisors (see below), whose sum is σ = 812797596. Its totient is φ = 250091520.

The previous prime is 468921623. The next prime is 468921667. The reversal of 468921645 is 546129864.

It is an interprime number because it is at equal distance from previous prime (468921623) and next prime (468921667).

It can be written as a sum of positive squares in 2 ways, for example, as 200420649 + 268500996 = 14157^2 + 16386^2 .

It is not a de Polignac number, because 468921645 - 211 = 468919597 is a prime.

It is a super-3 number, since 3×4689216453 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10420481 = 468921645 / (4 + 6 + 8 + 9 + 2 + 1 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 468921645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5210196 + ... + 5210285.

It is an arithmetic number, because the mean of its divisors is an integer number (67733133).

Almost surely, 2468921645 is an apocalyptic number.

468921645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468921645 is a deficient number, since it is larger than the sum of its proper divisors (343875951).

468921645 is a wasteful number, since it uses less digits than its factorization.

468921645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420492 (or 10420489 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 468921645 is about 21654.5987032778. The cubic root of 468921645 is about 776.9029310819.

The spelling of 468921645 in words is "four hundred sixty-eight million, nine hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 10420481 31261443 52102405 93784329 156307215 468921645