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54655296 = 2634153131
BaseRepresentation
bin1101000001111…
…1100101000000
310210211202222020
43100133211000
5102442432141
65231241440
71232363613
oct320374500
9123752866
1054655296
1128940373
1216379280
13b428317
14738a17a
154be9266
hex341f940

54655296 has 112 divisors (see below), whose sum is σ = 152083008. Its totient is φ = 17305600.

The previous prime is 54655277. The next prime is 54655297. The reversal of 54655296 is 69255645.

Its product of digits (324000) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54655297) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 417151 + ... + 417281.

It is an arithmetic number, because the mean of its divisors is an integer number (1357884).

Almost surely, 254655296 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 54655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76041504).

54655296 is an abundant number, since it is smaller than the sum of its proper divisors (97427712).

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

54655296 is a wasteful number, since it uses less digits than its factorization.

54655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 54655296 is about 7392.9220204193. The cubic root of 54655296 is about 379.4990999508.

The spelling of 54655296 in words is "fifty-four million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 131 159 164 192 212 246 262 318 328 393 424 492 524 636 656 786 848 984 1048 1272 1312 1572 1696 1968 2096 2173 2544 2624 3144 3392 3936 4192 4346 5088 5371 6288 6519 6943 7872 8384 8692 10176 10742 12576 13038 13886 16113 17384 20829 21484 25152 26076 27772 32226 34768 41658 42968 52152 55544 64452 69536 83316 85936 104304 111088 128904 139072 166632 171872 208608 222176 257808 284663 333264 343744 417216 444352 515616 569326 666528 853989 1031232 1138652 1333056 1707978 2277304 3415956 4554608 6831912 9109216 13663824 18218432 27327648 54655296