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58424072 = 23721031447
BaseRepresentation
bin1101111011011…
…1101100001000
311001221020202112
43132313230020
5104424032242
65444121452
71306411400
oct336675410
9131836675
1058424072
112aa84963
1217696288
13c147875
147a8b800
1551e0c82
hex37b7b08

58424072 has 48 divisors (see below), whose sum is σ = 128756160. Its totient is φ = 24778656.

The previous prime is 58424059. The next prime is 58424081. The reversal of 58424072 is 27042485.

It is a super-2 number, since 2×584240722 = 6826744378122368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39653 + ... + 41099.

It is an arithmetic number, because the mean of its divisors is an integer number (2682420).

Almost surely, 258424072 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 58424072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64378080).

58424072 is an abundant number, since it is smaller than the sum of its proper divisors (70332088).

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

58424072 is a wasteful number, since it uses less digits than its factorization.

58424072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 58424072 is about 7643.5640901349. The cubic root of 58424072 is about 388.0287823619.

The spelling of 58424072 in words is "fifty-eight million, four hundred twenty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 1447 2884 2894 5047 5768 5788 10094 10129 11576 20188 20258 40376 40516 70903 81032 141806 149041 283612 298082 567224 596164 1043287 1192328 2086574 4173148 7303009 8346296 14606018 29212036 58424072