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54504768 = 2631967223
BaseRepresentation
bin1100111111101…
…0110101000000
310210120010111010
43033322311000
5102423123033
65224120520
71231166013
oct317726500
9123503433
1054504768
112884826a
1216306140
13b3a4956
14734b37a
154bb9863
hex33fad40

54504768 has 112 divisors (see below), whose sum is σ = 154757120. Its totient is φ = 16879104.

The previous prime is 54504767. The next prime is 54504773. The reversal of 54504768 is 86740545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54504761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244305 + ... + 244527.

It is an arithmetic number, because the mean of its divisors is an integer number (1381760).

Almost surely, 254504768 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 54504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77378560).

54504768 is an abundant number, since it is smaller than the sum of its proper divisors (100252352).

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

54504768 is a wasteful number, since it uses less digits than its factorization.

54504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 54504768 is about 7382.7344527621. The cubic root of 54504768 is about 379.1503825126.

The spelling of 54504768 in words is "fifty-four million, five hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 223 228 268 304 402 446 456 536 608 669 804 892 912 1072 1216 1273 1338 1608 1784 1824 2144 2546 2676 3216 3568 3648 3819 4237 4288 5092 5352 6432 7136 7638 8474 10184 10704 12711 12864 14272 14941 15276 16948 20368 21408 25422 29882 30552 33896 40736 42816 44823 50844 59764 61104 67792 81472 89646 101688 119528 122208 135584 179292 203376 239056 244416 271168 283879 358584 406752 478112 567758 717168 813504 851637 956224 1135516 1434336 1703274 2271032 2868672 3406548 4542064 6813096 9084128 13626192 18168256 27252384 54504768