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379449792 = 26331712917
BaseRepresentation
bin10110100111011…
…111000111000000
3222110000001021000
4112213133013000
51234114343132
6101352532000
712255161421
oct2647370700
9873001230
10379449792
1118520a277
12a70b1000
13607c7907
1438575648
15234a487c
hex169df1c0

379449792 has 112 divisors (see below), whose sum is σ = 1181221920. Its totient is φ = 119033856.

The previous prime is 379449787. The next prime is 379449803. The reversal of 379449792 is 297944973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 22918 + ... + 35834.

Almost surely, 2379449792 is an apocalyptic number.

379449792 is a gapful number since it is divisible by the number (32) 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 379449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590610960).

379449792 is an abundant number, since it is smaller than the sum of its proper divisors (801772128).

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

379449792 is a wasteful number, since it uses less digits than its factorization.

379449792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12939 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 379449792 is about 19479.4710400462. The cubic root of 379449792 is about 723.9658928002.

The spelling of 379449792 in words is "three hundred seventy-nine million, four hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 12917 14688 25834 29376 38751 51668 77502 103336 116253 155004 206672 219589 232506 310008 348759 413344 439178 465012 620016 658767 697518 826688 878356 930024 1240032 1317534 1395036 1756712 1860048 1976301 2480064 2635068 2790072 3513424 3720096 3952602 5270136 5580144 5928903 7026848 7440192 7905204 10540272 11160288 11857806 14053696 15810408 21080544 22320576 23715612 31620816 42161088 47431224 63241632 94862448 126483264 189724896 379449792