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54984272 = 247343233
BaseRepresentation
bin1101000110111…
…1111001010000
310211110111020112
43101233321100
5103033444042
65242300452
71235234000
oct321577120
9124414215
1054984272
1129045552
12164b7728
13b511c95
147434000
154c61982
hex346fe50

54984272 has 80 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 22917888.

The previous prime is 54984253. The next prime is 54984277. The reversal of 54984272 is 27248945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54984277) 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, 235868 + ... + 236100.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 254984272 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 54984272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

54984272 is an abundant number, since it is smaller than the sum of its proper divisors (72686128).

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

54984272 is a wasteful number, since it uses less digits than its factorization.

54984272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 54984272 is about 7415.1380297335. The cubic root of 54984272 is about 380.2589924164.

The spelling of 54984272 in words is "fifty-four million, nine hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 233 301 343 344 392 466 602 686 688 784 932 1204 1372 1631 1864 2107 2408 2744 3262 3728 4214 4816 5488 6524 8428 10019 11417 13048 14749 16856 20038 22834 26096 29498 33712 40076 45668 58996 70133 79919 80152 91336 117992 140266 159838 160304 182672 235984 280532 319676 490931 561064 639352 981862 1122128 1278704 1963724 3436517 3927448 6873034 7854896 13746068 27492136 54984272