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1056455413 = 132937531429
BaseRepresentation
bin111110111110000…
…011101011110101
32201121220111101021
4332332003223311
54130423033123
6252455301141
735115502636
oct7676035365
92647814337
101056455413
114a2383652
1225597a7b1
1313ab45960
14a044588d
1562b33c5d
hex3ef83af5

1056455413 has 32 divisors (see below), whose sum is σ = 1232431200. Its totient is φ = 898200576.

The previous prime is 1056455399. The next prime is 1056455437. The reversal of 1056455413 is 3145546501.

It can be written as a sum of positive squares in 16 ways, for example, as 238609809 + 817845604 = 15447^2 + 28598^2 .

It is not a de Polignac number, because 1056455413 - 29 = 1056454901 is a prime.

It is a super-2 number, since 2×10564554132 = 2232196079314001138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056455473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738583 + ... + 740011.

It is an arithmetic number, because the mean of its divisors is an integer number (38513475).

Almost surely, 21056455413 is an apocalyptic number.

1056455413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1056455413 is a deficient number, since it is larger than the sum of its proper divisors (175975787).

1056455413 is a wasteful number, since it uses less digits than its factorization.

1056455413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 1056455413 is about 32503.1600463709. The cubic root of 1056455413 is about 1018.4750418186.

The spelling of 1056455413 in words is "one billion, fifty-six million, four hundred fifty-five thousand, four hundred thirteen".

Divisors: 1 13 29 37 53 377 481 689 1073 1429 1537 1961 13949 18577 19981 25493 41441 52873 56869 75737 538733 687349 739297 984581 1533317 2196373 2802269 19933121 28552849 36429497 81265801 1056455413