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58072092 = 223133710061
BaseRepresentation
bin1101110110000…
…1110000011100
311001021100221020
43131201300130
5104331301332
65432404140
71303414251
oct335416034
9131240836
1058072092
112a864471
1217546650
13c0535b0
1479d9428
15517182c
hex3761c1c

58072092 has 48 divisors (see below), whose sum is σ = 149883552. Its totient is φ = 17383680.

The previous prime is 58072081. The next prime is 58072093. The reversal of 58072092 is 29027085.

58072092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58072093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742 + ... + 10802.

It is an arithmetic number, because the mean of its divisors is an integer number (3122574).

Almost surely, 258072092 is an apocalyptic number.

58072092 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58072092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74941776).

58072092 is an abundant number, since it is smaller than the sum of its proper divisors (91811460).

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

58072092 is a wasteful number, since it uses less digits than its factorization.

58072092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 58072092 is about 7620.5047076949. The cubic root of 58072092 is about 387.2479765330.

The spelling of 58072092 in words is "fifty-eight million, seventy-two thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 10061 20122 30183 40244 60366 120732 130793 261586 372257 392379 523172 744514 784758 1116771 1489028 1569516 2233542 4467084 4839341 9678682 14518023 19357364 29036046 58072092