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379228752 = 243271919801
BaseRepresentation
bin10110100110101…
…001001001010000
3222102120211001100
4112212221021100
51234040310002
6101344104400
712253251120
oct2646511120
9872524040
10379228752
111850791a1
12a7005100
136074b116
1438518c80
152345e11c
hex169a9250

379228752 has 120 divisors (see below), whose sum is σ = 1276832960. Its totient is φ = 102643200.

The previous prime is 379228723. The next prime is 379228753. The reversal of 379228752 is 257822973.

379228752 is a `hidden beast` number, since 379 + 228 + 7 + 52 = 666.

379228752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 379228698 and 379228707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379228753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9252 + ... + 29052.

Almost surely, 2379228752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379228752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638416480).

379228752 is an abundant number, since it is smaller than the sum of its proper divisors (897604208).

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

379228752 is a wasteful number, since it uses less digits than its factorization.

379228752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19841 (or 19832 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 379228752 is about 19473.7965481824. The cubic root of 379228752 is about 723.8252887753.

The spelling of 379228752 in words is "three hundred seventy-nine million, two hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 19801 39602 59403 79204 118806 138607 158408 178209 237612 277214 316816 356418 376219 415821 475224 554428 712836 752438 831642 950448 1108856 1128657 1247463 1425672 1504876 1663284 2217712 2257314 2494926 2633533 2851344 3009752 3326568 3385971 4514628 4989852 5267066 6019504 6653136 6771942 7900599 9029256 9979704 10534132 13543884 15801198 18058512 19959408 21068264 23701797 27087768 31602396 42136528 47403594 54175536 63204792 94807188 126409584 189614376 379228752