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5760225601 = 132937412949
BaseRepresentation
bin1010101110101011…
…00001000101000001
3112212102212210000221
411113111201011001
543244104204401
62351325343041
7262513052434
oct52725410501
915772783027
105760225601
112496551829
121149107a81
1370a4c6820
143c903581b
1523aa737a1
hex157561141

5760225601 has 16 divisors (see below), whose sum is σ = 6590682000. Its totient is φ = 4995019008.

The previous prime is 5760225571. The next prime is 5760225607. The reversal of 5760225601 is 1065220675.

It can be written as a sum of positive squares in 8 ways, for example, as 456890625 + 5303334976 = 21375^2 + 72824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5760225601 is a prime.

It is a super-2 number, since 2×57602256012 = 66360397948831622402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5760225607) 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, 192526 + ... + 220423.

It is an arithmetic number, because the mean of its divisors is an integer number (411917625).

Almost surely, 25760225601 is an apocalyptic number.

It is an amenable number.

5760225601 is a deficient number, since it is larger than the sum of its proper divisors (830456399).

5760225601 is a wasteful number, since it uses less digits than its factorization.

5760225601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413028.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5760225601 is about 75896.1501065766. The cubic root of 5760225601 is about 1792.5853013125.

It can be divided in two parts, 5760 and 225601, that added together give a square (231361 = 4812).

The spelling of 5760225601 in words is "five billion, seven hundred sixty million, two hundred twenty-five thousand, six hundred one".

Divisors: 1 13 29 37 377 481 1073 13949 412949 5368337 11975521 15279113 155681773 198628469 443094277 5760225601