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58256244 = 223229411361
BaseRepresentation
bin1101111000111…
…0101101110100
311001121201112200
43132032231310
5104403144434
65440344500
71305112164
oct336165564
9131551480
1058256244
112a97a862
1217615130
13c0b9367
147a465a4
1551ab199
hex378eb74

58256244 has 72 divisors (see below), whose sum is σ = 156166920. Its totient is φ = 18278400.

The previous prime is 58256243. The next prime is 58256267. The reversal of 58256244 is 44265285.

It is a happy number.

58256244 is a `hidden beast` number, since 5 + 8 + 25 + 624 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 58064400 = 438^2 + 7620^2 .

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 = 58256199 and 58256208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58256243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42124 + ... + 43484.

It is an arithmetic number, because the mean of its divisors is an integer number (2168985).

Almost surely, 258256244 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 58256244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78083460).

58256244 is an abundant number, since it is smaller than the sum of its proper divisors (97910676).

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

58256244 is a wasteful number, since it uses less digits than its factorization.

58256244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1436 counting only the distinct ones).

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

The square root of 58256244 is about 7632.5778083161. The cubic root of 58256244 is about 387.6568777219.

The spelling of 58256244 in words is "fifty-eight million, two hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 246 261 348 369 492 522 738 1044 1189 1361 1476 2378 2722 3567 4083 4756 5444 7134 8166 10701 12249 14268 16332 21402 24498 39469 42804 48996 55801 78938 111602 118407 157876 167403 223204 236814 334806 355221 473628 502209 669612 710442 1004418 1420884 1618229 2008836 3236458 4854687 6472916 9709374 14564061 19418748 29128122 58256244