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1056471841 = 37731812161
BaseRepresentation
bin111110111110000…
…111101100100001
32201121221022220201
4332332013230201
54130424044331
6252455505201
735115601555
oct7676075441
92647838821
101056471841
114a2394a27
12255988201
1313ab50289
14a044b865
1562b38a61
hex3ef87b21

1056471841 has 16 divisors (see below), whose sum is σ = 1106477008. Its totient is φ = 1007769600.

The previous prime is 1056471821. The next prime is 1056471869. The reversal of 1056471841 is 1481746501.

It can be written as a sum of positive squares in 8 ways, for example, as 221841 + 1056250000 = 471^2 + 32500^2 .

It is a 5-Lehmer number, since φ(1056471841) divides (1056471841-1)5.

It is a cyclic number.

It is not a de Polignac number, because 1056471841 - 25 = 1056471809 is a prime.

It is a super-2 number, since 2×10564718412 = 2232265501651858562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R1056471840.

It is a self number, because there is not a number n which added to its sum of digits gives 1056471841.

It is not an unprimeable number, because it can be changed into a prime (1056471821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487801 + ... + 489961.

It is an arithmetic number, because the mean of its divisors is an integer number (69154813).

Almost surely, 21056471841 is an apocalyptic number.

It is an amenable number.

1056471841 is a deficient number, since it is larger than the sum of its proper divisors (50005167).

1056471841 is a wasteful number, since it uses less digits than its factorization.

1056471841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1056471841 is about 32503.4127592781. The cubic root of 1056471841 is about 1018.4803209248.

The spelling of 1056471841 in words is "one billion, fifty-six million, four hundred seventy-one thousand, eight hundred forty-one".

Divisors: 1 37 73 181 2161 2701 6697 13213 79957 157753 391141 488881 5836861 14472217 28553293 1056471841