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379142772 = 2231731167359
BaseRepresentation
bin10110100110010…
…100001001110100
3222102102110002220
4112212110021310
51234030032042
6101342202340
712252442341
oct2646241164
9872373086
10379142772
1118501a638
12a6b833b0
136071ac48
14384d57c8
15234438ec
hex16994274

379142772 has 96 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 114101760.

The previous prime is 379142767. The next prime is 379142773. The reversal of 379142772 is 277241973.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379142773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055929 + ... + 1056287.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2379142772 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 379142772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

379142772 is an abundant number, since it is smaller than the sum of its proper divisors (596278668).

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

379142772 is a wasteful number, since it uses less digits than its factorization.

379142772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 379142772 is about 19471.5888411809. The cubic root of 379142772 is about 723.7705819508.

The spelling of 379142772 in words is "three hundred seventy-nine million, one hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 167 186 204 334 359 372 501 527 668 718 1002 1054 1077 1436 1581 2004 2108 2154 2839 3162 4308 5177 5678 6103 6324 8517 10354 11129 11356 12206 15531 17034 18309 20708 22258 24412 31062 33387 34068 36618 44516 59953 62124 66774 73236 88009 119906 133548 176018 179859 189193 239812 264027 352036 359718 378386 528054 567579 719436 756772 1019201 1056108 1135158 1858543 2038402 2270316 3057603 3717086 4076804 5575629 6115206 7434172 11151258 12230412 22302516 31595231 63190462 94785693 126380924 189571386 379142772