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379624896 = 2632794153
BaseRepresentation
bin10110101000001…
…001110111000000
3222110022221110100
4112220021313000
51234140444041
6101400402400
712256521060
oct2650116700
9873287410
10379624896
11185319892
12a7176400
1360859521
14385bd3a0
15234db6b6
hex16a09dc0

379624896 has 84 divisors (see below), whose sum is σ = 1243586032. Its totient is φ = 108463104.

The previous prime is 379624891. The next prime is 379624907. The reversal of 379624896 is 698426973.

It is a happy number.

379624896 is a `hidden beast` number, since 3 + 7 + 9 + 624 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379624891) 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, 43045 + ... + 51108.

Almost surely, 2379624896 is an apocalyptic number.

379624896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379624896 is an abundant number, since it is smaller than the sum of its proper divisors (863961136).

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

379624896 is a wasteful number, since it uses less digits than its factorization.

379624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94178 (or 94165 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 379624896 is about 19483.9650995376. The cubic root of 379624896 is about 724.0772380791.

The spelling of 379624896 in words is "three hundred seventy-nine million, six hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 94153 188306 282459 376612 564918 659071 753224 847377 1129836 1318142 1506448 1694754 1977213 2259672 2636284 3012896 3389508 3954426 4519344 5272568 5931639 6025792 6779016 7908852 9038688 10545136 11863278 13558032 15817704 18077376 21090272 23726556 27116064 31635408 42180544 47453112 54232128 63270816 94906224 126541632 189812448 379624896