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50625900 = 223252134327
BaseRepresentation
bin1100000100011…
…1110101101100
310112021001200100
43001013311230
5100430012100
65005031100
71153212243
oct301076554
9115231610
1050625900
1126638a96
1214b55490
13a647270
146a1b95a
1546a0400
hex3047d6c

50625900 has 108 divisors (see below), whose sum is σ = 170930032. Its totient is φ = 12458880.

The previous prime is 50625893. The next prime is 50625901. The reversal of 50625900 is 952605.

50625900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (50625901) 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 35 ways as a sum of consecutive naturals, for example, 9537 + ... + 13863.

Almost surely, 250625900 is an apocalyptic number.

50625900 is a gapful number since it is divisible by the number (50) 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 50625900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85465016).

50625900 is an abundant number, since it is smaller than the sum of its proper divisors (120304132).

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

50625900 is a wasteful number, since it uses less digits than its factorization.

50625900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 50625900 is about 7115.1879806510. The cubic root of 50625900 is about 369.9340033251.

It can be divided in two parts, 50625 and 900, that multiplied together give a square (45562500 = 67502).

The spelling of 50625900 in words is "fifty million, six hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 4327 5850 8654 11700 12981 17308 21635 25962 38943 43270 51924 56251 64905 77886 86540 108175 112502 129810 155772 168753 194715 216350 225004 259620 281255 324525 337506 389430 432700 506259 562510 649050 675012 778860 843765 973575 1012518 1125020 1298100 1406275 1687530 1947150 2025036 2531295 2812550 3375060 3894300 4218825 5062590 5625100 8437650 10125180 12656475 16875300 25312950 50625900