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54041504 = 2511217821
BaseRepresentation
bin1100111000100…
…1101110100000
310202200121000012
43032021232200
5102313312004
65210144052
71224226256
oct316115640
9122617005
1054041504
1128561200
1216122028
13b271b2a
14726a5d6
154b2746e
hex3389ba0

54041504 has 72 divisors (see below), whose sum is σ = 123975684. Its totient is φ = 23091200.

The previous prime is 54041479. The next prime is 54041543. The reversal of 54041504 is 40514045.

It can be written as a sum of positive squares in 2 ways, for example, as 53993104 + 48400 = 7348^2 + 220^2 .

It is a hoax number, since the sum of its digits (23) 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 54041504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65414 + ... + 66234.

Almost surely, 254041504 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 54041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61987842).

54041504 is an abundant number, since it is smaller than the sum of its proper divisors (69934180).

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

54041504 is a wasteful number, since it uses less digits than its factorization.

54041504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 54041504 is about 7351.2926754415. The cubic root of 54041504 is about 378.0731267684.

Adding to 54041504 its reverse (40514045), we get a palindrome (94555549).

It can be divided in two parts, 54041 and 504, that added together give a palindrome (54545).

The spelling of 54041504 in words is "fifty-four million, forty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 352 374 484 544 748 821 968 1496 1642 1936 2057 2992 3284 3872 4114 5984 6568 8228 9031 13136 13957 16456 18062 26272 27914 32912 36124 55828 65824 72248 99341 111656 144496 153527 198682 223312 288992 307054 397364 446624 614108 794728 1228216 1589456 1688797 2456432 3178912 3377594 4912864 6755188 13510376 27020752 54041504