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55467006 = 2377379229
BaseRepresentation
bin1101001110010…
…1101111111110
310212101000102120
43103211233332
5103144421011
65300503410
71242314250
oct323455776
9125330376
1055467006
1129345201
12166aab66
13b65091a
14751bcd0
154d09a06
hex34e5bfe

55467006 has 64 divisors (see below), whose sum is σ = 130713600. Its totient is φ = 15365376.

The previous prime is 55466989. The next prime is 55467017. The reversal of 55467006 is 60076455.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242100 + ... + 242328.

It is an arithmetic number, because the mean of its divisors is an integer number (2042400).

Almost surely, 255467006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55467006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356800).

55467006 is an abundant number, since it is smaller than the sum of its proper divisors (75246594).

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

55467006 is a wasteful number, since it uses less digits than its factorization.

55467006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 55467006 is about 7447.6174713797. The cubic root of 55467006 is about 381.3685785054.

It can be divided in two parts, 55 and 467006, that added together give a triangular number (467061 = T966).

The spelling of 55467006 in words is "fifty-five million, four hundred sixty-seven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 73 79 146 158 219 229 237 438 458 474 511 553 687 1022 1106 1374 1533 1603 1659 3066 3206 3318 4809 5767 9618 11534 16717 17301 18091 33434 34602 36182 40369 50151 54273 80738 100302 108546 117019 121107 126637 234038 242214 253274 351057 379911 702114 759822 1320643 2641286 3961929 7923858 9244501 18489002 27733503 55467006