Search a number
-
+
252058644 = 223231225859
BaseRepresentation
bin11110000011000…
…01110000010100
3122120021220110100
433001201300110
51004011334034
641002254100
76150314565
oct1701416024
9576256410
10252058644
1111a30a432
12704b7330
13402b3736
142569416c
15171de099
hexf061c14

252058644 has 36 divisors (see below), whose sum is σ = 657704320. Its totient is φ = 81308880.

The previous prime is 252058637. The next prime is 252058669. The reversal of 252058644 is 446850252.

It is a happy number.

252058644 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 5 + 8 + 644 = 666.

252058644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 252058599 and 252058608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111814 + ... + 114045.

Almost surely, 2252058644 is an apocalyptic number.

It is an amenable number.

252058644 is an abundant number, since it is smaller than the sum of its proper divisors (405645676).

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

252058644 is a wasteful number, since it uses less digits than its factorization.

252058644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225900 (or 225895 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 252058644 is about 15876.3548713173. The cubic root of 252058644 is about 631.6849528691.

The spelling of 252058644 in words is "two hundred fifty-two million, fifty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 225859 451718 677577 903436 1355154 2032731 2710308 4065462 7001629 8130924 14003258 21004887 28006516 42009774 63014661 84019548 126029322 252058644