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1052239944 = 233729316967
BaseRepresentation
bin111110101101111…
…110100001001000
32201022222022211210
4332231332201020
54123333134234
6252225053120
735034614640
oct7655764110
92638868753
101052239944
1149aa64498
122544871a0
13139ccacb2
149da69520
156259ebe9
hex3eb7e848

1052239944 has 128 divisors (see below), whose sum is σ = 3210854400. Its totient is φ = 280869120.

The previous prime is 1052239933. The next prime is 1052239961. The reversal of 1052239944 is 4499322501.

It is a super-2 number, since 2×10522399442 = 2214417799498246272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147549 + ... + 154515.

It is an arithmetic number, because the mean of its divisors is an integer number (25084800).

Almost surely, 21052239944 is an apocalyptic number.

1052239944 is a gapful number since it is divisible by the number (14) 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 1052239944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605427200).

1052239944 is an abundant number, since it is smaller than the sum of its proper divisors (2158614456).

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

1052239944 is a wasteful number, since it uses less digits than its factorization.

1052239944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1052239944 is about 32438.2481647823. The cubic root of 1052239944 is about 1017.1185961518.

The spelling of 1052239944 in words is "one billion, fifty-two million, two hundred thirty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 1218 1302 1624 1736 1798 2436 2604 2697 3596 4872 5208 5394 6293 6967 7192 10788 12586 13934 18879 20901 21576 25172 27868 37758 41802 48769 50344 55736 75516 83604 97538 146307 151032 167208 195076 202043 215977 292614 390152 404086 431954 585228 606129 647931 808172 863908 1170456 1212258 1295862 1414301 1511839 1616344 1727816 2424516 2591724 2828602 3023678 4242903 4535517 4849032 5183448 5657204 6047356 6263333 8485806 9071034 11314408 12094712 12526666 16971612 18142068 18789999 25053332 33943224 36284136 37579998 43843331 50106664 75159996 87686662 131529993 150319992 175373324 263059986 350746648 526119972 1052239944