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53754272 = 25111317691
BaseRepresentation
bin1100110100001…
…1100110100000
310202010222222222
43031003212200
5102230114042
65200050212
71221621665
oct315034640
9122128888
1053754272
1128385420
1216003968
13b1a1180
1471d3a6c
154abc2d2
hex33439a0

53754272 has 96 divisors (see below), whose sum is σ = 131834304. Its totient is φ = 21196800.

The previous prime is 53754271. The next prime is 53754277. The reversal of 53754272 is 27245735.

It is not an unprimeable number, because it can be changed into a prime (53754271) 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, 77447 + ... + 78137.

It is an arithmetic number, because the mean of its divisors is an integer number (1373274).

Almost surely, 253754272 is an apocalyptic number.

53754272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53754272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65917152).

53754272 is an abundant number, since it is smaller than the sum of its proper divisors (78080032).

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

53754272 is a wasteful number, since it uses less digits than its factorization.

53754272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its digits is 58800, while the sum is 35.

The square root of 53754272 is about 7331.7304915006. The cubic root of 53754272 is about 377.4021137076.

The spelling of 53754272 in words is "fifty-three million, seven hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 691 748 884 1144 1382 1496 1768 2288 2431 2764 2992 3536 4576 4862 5528 5984 7072 7601 8983 9724 11056 11747 15202 17966 19448 22112 23494 30404 35932 38896 46988 60808 71864 77792 93976 98813 121616 129217 143728 152711 187952 197626 243232 258434 287456 305422 375904 395252 516868 610844 790504 1033736 1221688 1581008 1679821 2067472 2443376 3162016 3359642 4134944 4886752 6719284 13438568 26877136 53754272