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54080664 = 233111271613
BaseRepresentation
bin1100111001001…
…1010010011000
310202202120201120
43032103102120
5102321040124
65211045240
71224451401
oct316232230
9122676646
1054080664
1128588670
1216140820
13b2868c1
14727a9a8
154b33d79
hex3393498

54080664 has 64 divisors (see below), whose sum is σ = 148746240. Its totient is φ = 16248960.

The previous prime is 54080651. The next prime is 54080687. The reversal of 54080664 is 46608045.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32722 + ... + 34334.

It is an arithmetic number, because the mean of its divisors is an integer number (2324160).

Almost surely, 254080664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54080664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74373120).

54080664 is an abundant number, since it is smaller than the sum of its proper divisors (94665576).

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

54080664 is a wasteful number, since it uses less digits than its factorization.

54080664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 54080664 is about 7353.9556702499. The cubic root of 54080664 is about 378.1644255410.

The spelling of 54080664 in words is "fifty-four million, eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 1613 2794 3048 3226 4191 4839 5588 6452 8382 9678 11176 12904 16764 17743 19356 33528 35486 38712 53229 70972 106458 141944 204851 212916 409702 425832 614553 819404 1229106 1638808 2253361 2458212 4506722 4916424 6760083 9013444 13520166 18026888 27040332 54080664