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379525920 = 25357611039
BaseRepresentation
bin10110100111110…
…001101100100000
3222110010220200120
4112213301230200
51234124312140
6101354320240
712255626364
oct2647615440
9873126616
10379525920
11185261494
12a7129080
1360823467
14385952a4
15234bc1d0
hex169f1b20

379525920 has 96 divisors (see below), whose sum is σ = 1198229760. Its totient is φ = 100976640.

The previous prime is 379525907. The next prime is 379525943. The reversal of 379525920 is 29525973.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364761 + ... + 365799.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2379525920 is an apocalyptic number.

379525920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

379525920 is an abundant number, since it is smaller than the sum of its proper divisors (818703840).

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

379525920 is a wasteful number, since it uses less digits than its factorization.

379525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 379525920 is about 19481.4249992140. The cubic root of 379525920 is about 724.0143053450.

The spelling of 379525920 in words is "three hundred seventy-nine million, five hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 761 1039 1522 2078 2283 3044 3117 3805 4156 4566 5195 6088 6234 7610 8312 9132 10390 11415 12176 12468 15220 15585 16624 18264 20780 22830 24352 24936 30440 31170 33248 36528 41560 45660 49872 60880 62340 73056 83120 91320 99744 121760 124680 166240 182640 249360 365280 498720 790679 1581358 2372037 3162716 3953395 4744074 6325432 7906790 9488148 11860185 12650864 15813580 18976296 23720370 25301728 31627160 37952592 47440740 63254320 75905184 94881480 126508640 189762960 379525920