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61995200 = 265238747
BaseRepresentation
bin1110110001111…
…1100011000000
311022122200102112
43230133203000
5111332321300
610052434452
71351644011
oct354374300
9138580375
1061995200
1131aa3a03
1218918a28
13cac8167
14833b008
155698e35
hex3b1f8c0

61995200 has 42 divisors (see below), whose sum is σ = 152550876. Its totient is φ = 24797440.

The previous prime is 61995191. The next prime is 61995203. The reversal of 61995200 is 259916.

61995200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (61995203) 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 5 ways as a sum of consecutive naturals, for example, 17774 + ... + 20973.

Almost surely, 261995200 is an apocalyptic number.

It is an amenable number.

61995200 is an abundant number, since it is smaller than the sum of its proper divisors (90555676).

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

61995200 is a wasteful number, since it uses less digits than its factorization.

61995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38769 (or 38754 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 61995200 is about 7873.7030678074. The cubic root of 61995200 is about 395.7789467906.

The spelling of 61995200 in words is "sixty-one million, nine hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 38747 77494 154988 193735 309976 387470 619952 774940 968675 1239904 1549880 1937350 2479808 3099760 3874700 6199520 7749400 12399040 15498800 30997600 61995200