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250065972 = 223213534329
BaseRepresentation
bin11101110011110…
…11010000110100
3122102112200000200
432321323100310
51003004102342
640451440500
76124345212
oct1671732064
9572480020
10250065972
111191792a2
126b8b6130
133ca66740
14252d5cb2
1516e4894c
hexee7b434

250065972 has 36 divisors (see below), whose sum is σ = 680736420. Its totient is φ = 76943232.

The previous prime is 250065919. The next prime is 250065979. The reversal of 250065972 is 279560052.

250065972 is a `hidden beast` number, since 2 + 500 + 65 + 97 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 128051856 = 11046^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250065979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266697 + ... + 267632.

It is an arithmetic number, because the mean of its divisors is an integer number (18909345).

Almost surely, 2250065972 is an apocalyptic number.

It is an amenable number.

250065972 is an abundant number, since it is smaller than the sum of its proper divisors (430670448).

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

250065972 is a wasteful number, since it uses less digits than its factorization.

250065972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534352 (or 534347 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 250065972 is about 15813.4743810461. The cubic root of 250065972 is about 630.0159330815.

The spelling of 250065972 in words is "two hundred fifty million, sixty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 534329 1068658 1602987 2137316 3205974 4808961 6411948 6946277 9617922 13892554 19235844 20838831 27785108 41677662 62516493 83355324 125032986 250065972