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385825716 = 223210717381
BaseRepresentation
bin10110111111110…
…011101110110100
3222212222222101100
4112333303232310
51242232410331
6102141330100
712363315213
oct2677635664
9885888340
10385825716
11188874631
12a9266930
1361c1aa53
143935507a
1523d13ae6
hex16ff3bb4

385825716 has 18 divisors (see below), whose sum is σ = 975281762. Its totient is φ = 128608560.

The previous prime is 385825711. The next prime is 385825733. The reversal of 385825716 is 617528583.

385825716 is a `hidden beast` number, since 3 + 8 + 582 + 57 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 384003216 + 1822500 = 19596^2 + 1350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3858257162 = 297722966253825312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385825711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5358655 + ... + 5358726.

Almost surely, 2385825716 is an apocalyptic number.

385825716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385825716 is an abundant number, since it is smaller than the sum of its proper divisors (589456046).

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

385825716 is a wasteful number, since it uses less digits than its factorization.

385825716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717391 (or 10717386 counting only the distinct ones).

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

The square root of 385825716 is about 19642.4467925969. The cubic root of 385825716 is about 727.9983420845.

The spelling of 385825716 in words is "three hundred eighty-five million, eight hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 10717381 21434762 32152143 42869524 64304286 96456429 128608572 192912858 385825716