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54004944 = 2437971657
BaseRepresentation
bin1100111000000…
…0110011010000
310202121201212010
43032000303100
5102311124234
65205302520
71224014550
oct316006320
9122551763
1054004944
1128536794
1216104a40
13b25b2b6
14725b160
154b1b6e9
hex3380cd0

54004944 has 80 divisors (see below), whose sum is σ = 161184128. Its totient is φ = 15261696.

The previous prime is 54004921. The next prime is 54004957. The reversal of 54004944 is 44940045.

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, 31764 + ... + 33420.

Almost surely, 254004944 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 54004944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80592064).

54004944 is an abundant number, since it is smaller than the sum of its proper divisors (107179184).

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

54004944 is a wasteful number, since it uses less digits than its factorization.

54004944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54004944 is about 7348.8056172415. The cubic root of 54004944 is about 377.9878498936.

Adding to 54004944 its reverse (44940045), we get a palindrome (98944989).

The spelling of 54004944 in words is "fifty-four million, four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 1657 2037 2328 2716 3314 4074 4656 4971 5432 6628 8148 9942 10864 11599 13256 16296 19884 23198 26512 32592 34797 39768 46396 69594 79536 92792 139188 160729 185584 278376 321458 482187 556752 642916 964374 1125103 1285832 1928748 2250206 2571664 3375309 3857496 4500412 6750618 7714992 9000824 13501236 18001648 27002472 54004944