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66624261 = 31123611439
BaseRepresentation
bin1111111000100…
…1101100000101
311122100212022020
43332021230011
5114023434021
610335553353
71436203554
oct376115405
9148325266
1066624261
1134675880
121a38b859
1310a59152
148bc3d9b
155cb07c6
hex3f89b05

66624261 has 32 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 37963200.

The previous prime is 66624227. The next prime is 66624269. The reversal of 66624261 is 16242666.

It is not a de Polignac number, because 66624261 - 27 = 66624133 is a prime.

It is a super-2 number, since 2×666242612 = 8877584307592242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66624269) 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, 45580 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 266624261 is an apocalyptic number.

66624261 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

66624261 is a deficient number, since it is larger than the sum of its proper divisors (36226299).

66624261 is a wasteful number, since it uses less digits than its factorization.

66624261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537.

The product of its digits is 20736, while the sum is 33.

The square root of 66624261 is about 8162.3685900601. The cubic root of 66624261 is about 405.3941415262.

The spelling of 66624261 in words is "sixty-six million, six hundred twenty-four thousand, two hundred sixty-one".

Divisors: 1 3 11 23 33 61 69 183 253 671 759 1403 1439 2013 4209 4317 15433 15829 33097 46299 47487 87779 99291 263337 364067 965569 1092201 2018917 2896707 6056751 22208087 66624261