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379492128 = 2535371319
BaseRepresentation
bin10110100111101…
…001011100100000
3222110002012100000
4112213221130200
51234122222003
6101353500000
712255426021
oct2647513440
9873065300
10379492128
11185239064
12a7111600
1360810c72
1438586c48
15234b21a3
hex169e9720

379492128 has 144 divisors (see below), whose sum is σ = 1150269120. Its totient is φ = 122985216.

The previous prime is 379492117. The next prime is 379492133. The reversal of 379492128 is 821294973.

379492128 is a `hidden beast` number, since 37 + 9 + 492 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287053 + ... + 288371.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2379492128 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 379492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575134560).

379492128 is an abundant number, since it is smaller than the sum of its proper divisors (770776992).

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

379492128 is a wasteful number, since it uses less digits than its factorization.

379492128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1361 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 379492128 is about 19480.5576922223. The cubic root of 379492128 is about 723.9928165908.

The spelling of 379492128 in words is "three hundred seventy-nine million, four hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 864 888 972 999 1184 1296 1319 1332 1776 1944 1998 2592 2638 2664 2997 3552 3888 3957 3996 5276 5328 5994 7776 7914 7992 8991 10552 10656 11871 11988 15828 15984 17982 21104 23742 23976 31656 31968 35613 35964 42208 47484 47952 48803 63312 71226 71928 94968 95904 97606 106839 126624 142452 143856 146409 189936 195212 213678 284904 287712 292818 320517 379872 390424 427356 439227 569808 585636 641034 780848 854712 878454 1139616 1171272 1282068 1317681 1561696 1709424 1756908 2342544 2564136 2635362 3418848 3513816 3953043 4685088 5128272 5270724 7027632 7906086 10256544 10541448 11859129 14055264 15812172 21082896 23718258 31624344 42165792 47436516 63248688 94873032 126497376 189746064 379492128