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54064746 = 2341073119
BaseRepresentation
bin1100111000111…
…1011001101010
310202201202220000
43032033121222
5102320032441
65210443430
71224354111
oct316173152
9122652800
1054064746
112857770a
1216133576
13b27c598
147274c78
154b2e2b6
hex338f66a

54064746 has 40 divisors (see below), whose sum is σ = 122316480. Its totient is φ = 17847432.

The previous prime is 54064693. The next prime is 54064757. The reversal of 54064746 is 64746045.

54064746 is a `hidden beast` number, since 5 + 4 + 0 + 647 + 4 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54064746.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15775 + ... + 18893.

It is an arithmetic number, because the mean of its divisors is an integer number (3057912).

Almost surely, 254064746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54064746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158240).

54064746 is an abundant number, since it is smaller than the sum of its proper divisors (68251734).

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

54064746 is a wasteful number, since it uses less digits than its factorization.

54064746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 54064746 is about 7352.8733159222. The cubic root of 54064746 is about 378.1273191671.

The spelling of 54064746 in words is "fifty-four million, sixty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 3119 5778 6238 8667 9357 17334 18714 28071 56142 84213 168426 252639 333733 505278 667466 1001199 2002398 3003597 6007194 9010791 18021582 27032373 54064746