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58480092 = 223211592503
BaseRepresentation
bin1101111100010…
…1010111011100
311002001002121100
43133011113130
5104432330332
65445233100
71310033616
oct337052734
9132032540
1058480092
1130012a60
1217702790
13c167208
147aa3db6
15520267c
hex37c55dc

58480092 has 72 divisors (see below), whose sum is σ = 164062080. Its totient is φ = 17413920.

The previous prime is 58480061. The next prime is 58480109. The reversal of 58480092 is 29008485.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22113 + ... + 24615.

It is an arithmetic number, because the mean of its divisors is an integer number (2278640).

Almost surely, 258480092 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 58480092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031040).

58480092 is an abundant number, since it is smaller than the sum of its proper divisors (105581988).

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

58480092 is a wasteful number, since it uses less digits than its factorization.

58480092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58480092 is about 7647.2277329762. The cubic root of 58480092 is about 388.1527633838.

The spelling of 58480092 in words is "fifty-eight million, four hundred eighty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2503 2596 3894 5006 5841 7509 7788 10012 11682 15018 22527 23364 27533 30036 45054 55066 82599 90108 110132 147677 165198 247797 295354 330396 443031 495594 590708 886062 991188 1329093 1624447 1772124 2658186 3248894 4873341 5316372 6497788 9746682 14620023 19493364 29240046 58480092