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1056291795 = 3251319292113
BaseRepresentation
bin111110111101011…
…011101111010011
32201121121011221100
4332331123233103
54130402314140
6252451555443
735114221626
oct7675335723
92647534840
101056291795
114a2281729
122558bbb83
1313aab9340
14a0401dbd
1562b00530
hex3ef5bbd3

1056291795 has 144 divisors (see below), whose sum is σ = 2168580960. Its totient is φ = 471453696.

The previous prime is 1056291791. The next prime is 1056291839. The reversal of 1056291795 is 5971926501.

1056291795 is a `hidden beast` number, since 1 + 0 + 5 + 629 + 17 + 9 + 5 = 666.

It is not a de Polignac number, because 1056291795 - 22 = 1056291791 is a prime.

It is a super-2 number, since 2×10562917952 = 2231504712368644050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1056291795.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056291791) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9347659 + ... + 9347771.

It is an arithmetic number, because the mean of its divisors is an integer number (15059590).

Almost surely, 21056291795 is an apocalyptic number.

1056291795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1056291795 is an abundant number, since it is smaller than the sum of its proper divisors (1112289165).

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

1056291795 is a wasteful number, since it uses less digits than its factorization.

1056291795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1056291795 is about 32500.6429936394. The cubic root of 1056291795 is about 1018.4224605009.

The spelling of 1056291795 in words is "one billion, fifty-six million, two hundred ninety-one thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 13 15 19 29 39 45 57 65 87 95 113 117 145 171 195 247 261 285 339 377 435 551 565 585 741 841 855 1017 1131 1235 1305 1469 1653 1695 1885 2147 2223 2523 2755 3277 3393 3705 4205 4407 4959 5085 5655 6441 7163 7345 7569 8265 9831 10735 10933 11115 12615 13221 15979 16385 16965 19323 21489 22035 24795 27911 29493 32205 32799 35815 37845 42601 47937 49155 54665 62263 64467 66105 79895 83733 95033 96615 98397 107445 127803 139555 143811 147465 163995 186789 207727 213005 239685 251199 285099 311315 322335 383409 418665 475165 491985 560367 623181 639015 719055 809419 855297 933945 1038635 1235429 1255995 1425495 1805627 1869543 1917045 2428257 2801835 3115905 3706287 4047095 4276485 5416881 6177145 7284771 9028135 9347715 11118861 12141285 16250643 18531435 23473151 27084405 36423855 55594305 70419453 81253215 117365755 211258359 352097265 1056291795