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51875640 = 23375593
BaseRepresentation
bin1100010111100…
…0111100111000
310121121120000000
43011320330320
5101240010030
65051513000
71166635635
oct305707470
9117546000
1051875640
1127311a33
1215458760
13a99405b
146c6518c
15484a860
hex3178f38

51875640 has 128 divisors (see below), whose sum is σ = 175348800. Its totient is φ = 13810176.

The previous prime is 51875627. The next prime is 51875647. The reversal of 51875640 is 4657815.

51875640 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51875595 and 51875604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51875647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87184 + ... + 87776.

Almost surely, 251875640 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 51875640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87674400).

51875640 is an abundant number, since it is smaller than the sum of its proper divisors (123473160).

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

51875640 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 12 representation: 51875640 = (15458760)12.

51875640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 51875640 is about 7202.4745747555. The cubic root of 51875640 is about 372.9533300338.

The spelling of 51875640 in words is "fifty-one million, eight hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 593 648 729 810 972 1080 1186 1215 1458 1620 1779 1944 2187 2372 2430 2916 2965 3240 3558 3645 4374 4744 4860 5337 5832 5930 7116 7290 8748 8895 9720 10674 10935 11860 14232 14580 16011 17496 17790 21348 21870 23720 26685 29160 32022 35580 42696 43740 48033 53370 64044 71160 80055 87480 96066 106740 128088 144099 160110 192132 213480 240165 288198 320220 384264 432297 480330 576396 640440 720495 864594 960660 1152792 1296891 1440990 1729188 1921320 2161485 2593782 2881980 3458376 4322970 5187564 5763960 6484455 8645940 10375128 12968910 17291880 25937820 51875640