Search a number
-
+
252140628 = 223231914783
BaseRepresentation
bin11110000011101…
…01110001010100
3122120110001220210
433001311301110
51004022000003
641004125420
76151105605
oct1701656124
9576401823
10252140628
1111a365a93
1270536870
1340311b4c
14256b5dac
1517208503
hexf075c54

252140628 has 48 divisors (see below), whose sum is σ = 617250816. Its totient is φ = 79955040.

The previous prime is 252140627. The next prime is 252140657. The reversal of 252140628 is 826041252.

252140628 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

252140628 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 252140595 and 252140604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252140627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50325 + ... + 55107.

It is an arithmetic number, because the mean of its divisors is an integer number (12859392).

Almost surely, 2252140628 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 252140628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308625408).

252140628 is an abundant number, since it is smaller than the sum of its proper divisors (365110188).

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

252140628 is a wasteful number, since it uses less digits than its factorization.

252140628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252140628 is about 15878.9366142699. The cubic root of 252140628 is about 631.7534322311.

The spelling of 252140628 in words is "two hundred fifty-two million, one hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 191 276 382 573 764 1146 2292 4393 4783 8786 9566 13179 14349 17572 19132 26358 28698 52716 57396 110009 220018 330027 440036 660054 913553 1320108 1827106 2740659 3654212 5481318 10962636 21011719 42023438 63035157 84046876 126070314 252140628