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58093146 = 23319411381
BaseRepresentation
bin1101110110011…
…0111001011010
311001022102211000
43131212321122
5104332440041
65433045430
71303532526
oct335467132
9131272730
1058093146
112a879271
1217556876
13c060057
147a02d86
155177bb6
hex3766e5a

58093146 has 64 divisors (see below), whose sum is σ = 139305600. Its totient is φ = 17884800.

The previous prime is 58093117. The next prime is 58093169. The reversal of 58093146 is 64139085.

58093146 is a `hidden beast` number, since 580 + 9 + 31 + 46 = 666.

It is a super-2 number, since 2×580931462 = 6749627224354632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58093146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41376 + ... + 42756.

It is an arithmetic number, because the mean of its divisors is an integer number (2176650).

Almost surely, 258093146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58093146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69652800).

58093146 is an abundant number, since it is smaller than the sum of its proper divisors (81212454).

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

58093146 is a wasteful number, since it uses less digits than its factorization.

58093146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 58093146 is about 7621.8859870770. The cubic root of 58093146 is about 387.2947697143.

The spelling of 58093146 in words is "fifty-eight million, ninety-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1381 1558 2214 2337 2762 4143 4674 7011 8286 12429 14022 21033 24858 26239 37287 42066 52478 56621 74574 78717 113242 157434 169863 236151 339726 472302 509589 708453 1019178 1075799 1416906 1528767 2151598 3057534 3227397 6454794 9682191 19364382 29046573 58093146