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54354272 = 257431563
BaseRepresentation
bin1100111101011…
…0000101100000
310210021111001012
43033112011200
5102403314042
65221000052
71230001160
oct317260540
9123244035
1054354272
1128755195
1216253028
13b3512bb
14730c5a0
154b89e82
hex33d6160

54354272 has 48 divisors (see below), whose sum is σ = 122798592. Its totient is φ = 23199360.

The previous prime is 54354259. The next prime is 54354277. The reversal of 54354272 is 27245345.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54354277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96263 + ... + 96825.

It is an arithmetic number, because the mean of its divisors is an integer number (2558304).

Almost surely, 254354272 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 54354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61399296).

54354272 is an abundant number, since it is smaller than the sum of its proper divisors (68444320).

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

54354272 is a wasteful number, since it uses less digits than its factorization.

54354272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its digits is 33600, while the sum is 32.

The square root of 54354272 is about 7372.5349778757. The cubic root of 54354272 is about 378.8010967744.

The spelling of 54354272 in words is "fifty-four million, three hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 431 563 862 1126 1724 2252 3017 3448 3941 4504 6034 6896 7882 9008 12068 13792 15764 18016 24136 31528 48272 63056 96544 126112 242653 485306 970612 1698571 1941224 3397142 3882448 6794284 7764896 13588568 27177136 54354272