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1055410944 = 2837474177
BaseRepresentation
bin111110111010000…
…100101100000000
32201112221102122020
4332322010230000
54130141122234
6252421041440
735103562560
oct7672045400
92645842566
101055410944
114a182a955
12255556280
1313a86b423
14a0252da0
15629c9549
hex3ee84b00

1055410944 has 144 divisors (see below), whose sum is σ = 3279295488. Its totient is φ = 295059456.

The previous prime is 1055410933. The next prime is 1055410969. The reversal of 1055410944 is 4490145501.

It is a super-2 number, since 2×10554109442 = 2227784521429942272, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 250584 + ... + 254760.

Almost surely, 21055410944 is an apocalyptic number.

1055410944 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 1055410944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639647744).

1055410944 is an abundant number, since it is smaller than the sum of its proper divisors (2223884544).

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

1055410944 is an equidigital number, since it uses as much as digits as its factorization.

1055410944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1055410944 is about 32487.0888815849. The cubic root of 1055410944 is about 1018.1392912974.

The spelling of 1055410944 in words is "one billion, fifty-five million, four hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 564 658 672 752 768 896 987 1128 1316 1344 1504 1792 1974 2256 2632 2688 3008 3948 4177 4512 5264 5376 6016 7896 8354 9024 10528 12032 12531 15792 16708 18048 21056 25062 29239 31584 33416 36096 42112 50124 58478 63168 66832 84224 87717 100248 116956 126336 133664 175434 196319 200496 233912 252672 267328 350868 392638 400992 467824 534656 588957 701736 785276 801984 935648 1069312 1177914 1374233 1403472 1570552 1603968 1871296 2355828 2748466 2806944 3141104 3207936 3742592 4122699 4711656 5496932 5613888 6282208 7485184 8245398 9423312 10993864 11227776 12564416 16490796 18846624 21987728 22455552 25128832 32981592 37693248 43975456 50257664 65963184 75386496 87950912 131926368 150772992 175901824 263852736 351803648 527705472 1055410944