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54808272 = 2433172439
BaseRepresentation
bin1101000100010…
…0111011010000
310211010112211000
43101010323100
5103012331042
65234422000
71233601611
oct321047320
9124115730
1054808272
1128a352a2
1216431900
13b47cb3c
1473c9c08
154c2974c
hex3444ed0

54808272 has 120 divisors (see below), whose sum is σ = 167499200. Its totient is φ = 17155584.

The previous prime is 54808253. The next prime is 54808283. The reversal of 54808272 is 27280845.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124629 + ... + 125067.

Almost surely, 254808272 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 54808272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83749600).

54808272 is an abundant number, since it is smaller than the sum of its proper divisors (112690928).

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

54808272 is a wasteful number, since it uses less digits than its factorization.

54808272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54808272 is about 7403.2609031426. The cubic root of 54808272 is about 379.8528331324.

The spelling of 54808272 in words is "fifty-four million, eight hundred eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 289 306 408 432 439 459 578 612 816 867 878 918 1156 1224 1317 1734 1756 1836 2312 2448 2601 2634 3468 3512 3672 3951 4624 5202 5268 6936 7024 7344 7463 7803 7902 10404 10536 11853 13872 14926 15606 15804 20808 21072 22389 23706 29852 31212 31608 41616 44778 47412 59704 62424 63216 67167 89556 94824 119408 124848 126871 134334 179112 189648 201501 253742 268668 358224 380613 403002 507484 537336 761226 806004 1014968 1074672 1141839 1522452 1612008 2029936 2283678 3044904 3224016 3425517 4567356 6089808 6851034 9134712 13702068 18269424 27404136 54808272