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385257816 = 23331783601
BaseRepresentation
bin10110111101101…
…001000101011000
3222211221010101000
4112331221011120
51242111222231
6102121225000
712355431426
oct2675510530
9884833330
10385257816
11188516999
12a9032160
1361a7c408
1439248116
1523c506e6
hex16f69158

385257816 has 32 divisors (see below), whose sum is σ = 1070161200. Its totient is φ = 128419200.

The previous prime is 385257709. The next prime is 385257823. The reversal of 385257816 is 618752583.

385257816 is a `hidden beast` number, since 385 + 257 + 8 + 16 = 666.

385257816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891585 + ... + 892016.

Almost surely, 2385257816 is an apocalyptic number.

385257816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385257816 is an abundant number, since it is smaller than the sum of its proper divisors (684903384).

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

385257816 is a wasteful number, since it uses less digits than its factorization.

385257816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783616 (or 1783606 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 385257816 is about 19627.9855308689. The cubic root of 385257816 is about 727.6409844736.

The spelling of 385257816 in words is "three hundred eighty-five million, two hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1783601 3567202 5350803 7134404 10701606 14268808 16052409 21403212 32104818 42806424 48157227 64209636 96314454 128419272 192628908 385257816