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1079577044 = 2271317592957
BaseRepresentation
bin100000001011001…
…0000100111010100
32210020102012021222
41000112100213110
54202332431134
6255043025512
735516152640
oct10026204724
92706365258
101079577044
11504436237
1226166b298
1314287cbb0
14a3543c20
1564b9ea2e
hex405909d4

1079577044 has 96 divisors (see below), whose sum is σ = 2504597760. Its totient is φ = 395016192.

The previous prime is 1079577007. The next prime is 1079577047. The reversal of 1079577044 is 4407759701.

It is a junction number, because it is equal to n+sod(n) for n = 1079576986 and 1079577004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079577047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363614 + ... + 366570.

It is an arithmetic number, because the mean of its divisors is an integer number (26089560).

Almost surely, 21079577044 is an apocalyptic number.

1079577044 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 1079577044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252298880).

1079577044 is an abundant number, since it is smaller than the sum of its proper divisors (1425020716).

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

1079577044 is a wasteful number, since it uses less digits than its factorization.

1079577044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The square root of 1079577044 is about 32856.9177495394. The cubic root of 1079577044 is about 1025.8516163355.

The spelling of 1079577044 in words is "one billion, seventy-nine million, five hundred seventy-seven thousand, forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 59 68 91 118 119 182 221 236 238 364 413 442 476 767 826 884 1003 1534 1547 1652 2006 2957 3068 3094 4012 5369 5914 6188 7021 10738 11828 13039 14042 20699 21476 26078 28084 38441 41398 50269 52156 76882 82796 91273 100538 153764 174463 182546 201076 269087 348926 351883 365092 538174 653497 697852 703766 1076348 1221241 1306994 1407532 2268019 2442482 2613988 2965871 4536038 4574479 4884964 5931742 9072076 9148958 11863484 15876133 18297916 20761097 31752266 38556323 41522194 63504532 77112646 83044388 154225292 269894261 539788522 1079577044