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55446066 = 23313194157
BaseRepresentation
bin1101001110000…
…0101000110010
310212022221201000
43103200220302
5103143233231
65300222430
71242166224
oct323405062
9125287630
1055446066
11293304a5
121669aa16
13b644230
147514414
154d036e6
hex34e0a32

55446066 has 64 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 16158528.

The previous prime is 55446059. The next prime is 55446067. The reversal of 55446066 is 66064455.

It is a happy number.

55446066 is a `hidden beast` number, since 5 + 5 + 44 + 606 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55446066.

It is not an unprimeable number, because it can be changed into a prime (55446067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11260 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 255446066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55446066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

55446066 is an abundant number, since it is smaller than the sum of its proper divisors (84262734).

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

55446066 is a wasteful number, since it uses less digits than its factorization.

55446066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 55446066 is about 7446.2115199610. The cubic root of 55446066 is about 381.3205808231.

The spelling of 55446066 in words is "fifty-five million, four hundred forty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4157 4446 6669 8314 12471 13338 24942 37413 54041 74826 78983 108082 112239 157966 162123 224478 236949 324246 473898 486369 710847 972738 1026779 1421694 1459107 2053558 2132541 2918214 3080337 4265082 6160674 9241011 18482022 27723033 55446066