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238931628 = 223137320981
BaseRepresentation
bin11100011110111…
…00111010101100
3121122120222120120
432033130322230
5442131303003
635413044540
75630612445
oct1617347254
9548528516
10238931628
11112963961
1268026750
133a668780
1423a382cc
1515e99853
hexe3dceac

238931628 has 48 divisors (see below), whose sum is σ = 608645856. Its totient is φ = 72506880.

The previous prime is 238931611. The next prime is 238931633. The reversal of 238931628 is 826139832.

It is a self number, because there is not a number n which added to its sum of digits gives 238931628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (12680122).

Almost surely, 2238931628 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 238931628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304322928).

238931628 is an abundant number, since it is smaller than the sum of its proper divisors (369714228).

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

238931628 is a wasteful number, since it uses less digits than its factorization.

238931628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21074 (or 21072 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 238931628 is about 15457.4133670547. The cubic root of 238931628 is about 620.5229960983.

It can be divided in two parts, 23 and 8931628, that added together give a triangular number (8931651 = T4226).

The spelling of 238931628 in words is "two hundred thirty-eight million, nine hundred thirty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 1898 2847 3796 5694 11388 20981 41962 62943 83924 125886 251772 272753 545506 818259 1091012 1531613 1636518 3063226 3273036 4594839 6126452 9189678 18379356 19910969 39821938 59732907 79643876 119465814 238931628