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58440492 = 223211178681
BaseRepresentation
bin1101111011101…
…1101100101100
311001222002021200
43132323230230
5104430043432
65444325500
71306510305
oct336735454
9131862250
1058440492
112aa96230
12176a3890
13c152196
147a937ac
1551e5a7c
hex37bbb2c

58440492 has 72 divisors (see below), whose sum is σ = 170653392. Its totient is φ = 16665600.

The previous prime is 58440491. The next prime is 58440497. The reversal of 58440492 is 29404485.

It is a super-2 number, since 2×584404922 = 6830582210404128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (58440491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2392 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (2370186).

Almost surely, 258440492 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 58440492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85326696).

58440492 is an abundant number, since it is smaller than the sum of its proper divisors (112212900).

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

58440492 is a wasteful number, since it uses less digits than its factorization.

58440492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 58440492 is about 7644.6381209316. The cubic root of 58440492 is about 388.0651305976.

The spelling of 58440492 in words is "fifty-eight million, four hundred forty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 8681 17362 26043 34724 52086 78129 95491 104172 147577 156258 190982 286473 295154 312516 381964 442731 572946 590308 859419 885462 1145892 1328193 1623347 1718838 1770924 2656386 3246694 3437676 4870041 5312772 6493388 9740082 14610123 19480164 29220246 58440492