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53955792 = 243211231481
BaseRepresentation
bin1100110111010…
…0110011010000
310202112020102200
43031310303100
5102303041132
65204243200
71223421342
oct315646320
9122466380
1053955792
1128502870
12160a0500
13b241b07
147247292
154b0bd7c
hex3374cd0

53955792 has 120 divisors (see below), whose sum is σ = 172006848. Its totient is φ = 15628800.

The previous prime is 53955787. The next prime is 53955793. The reversal of 53955792 is 29755935.

53955792 is a `hidden beast` number, since 5 + 3 + 9 + 557 + 92 = 666.

53955792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×539557922 = 5822454980694528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53955793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35692 + ... + 37172.

Almost surely, 253955792 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 53955792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86003424).

53955792 is an abundant number, since it is smaller than the sum of its proper divisors (118051056).

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

53955792 is a wasteful number, since it uses less digits than its factorization.

53955792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1520 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 53955792 is about 7345.4606390614. The cubic root of 53955792 is about 377.8731412718.

The spelling of 53955792 in words is "fifty-three million, nine hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1481 1518 1584 1656 2024 2277 2962 3036 3312 4048 4443 4554 5924 6072 8886 9108 11848 12144 13329 16291 17772 18216 23696 26658 32582 34063 35544 36432 48873 53316 65164 68126 71088 97746 102189 106632 130328 136252 146619 195492 204378 213264 260656 272504 293238 306567 374693 390984 408756 545008 586476 613134 749386 781968 817512 1124079 1172952 1226268 1498772 1635024 2248158 2345904 2452536 2997544 3372237 4496316 4905072 5995088 6744474 8992632 13488948 17985264 26977896 53955792