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58286256 = 2437414231
BaseRepresentation
bin1101111001011…
…0000010110000
311001200020201020
43132112002300
5104410130011
65441135440
71305265530
oct336260260
9131606636
1058286256
112a9a0366
121762a580
13c0c9c12
147a534c0
1551b5006
hex37960b0

58286256 has 80 divisors (see below), whose sum is σ = 176322048. Its totient is φ = 16243200.

The previous prime is 58286213. The next prime is 58286257. The reversal of 58286256 is 65268285.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (58286257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11661 + ... + 15891.

Almost surely, 258286256 is an apocalyptic number.

58286256 is a gapful number since it is divisible by the number (56) 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 58286256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88161024).

58286256 is an abundant number, since it is smaller than the sum of its proper divisors (118035792).

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

58286256 is a wasteful number, since it uses less digits than its factorization.

58286256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4284 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 58286256 is about 7634.5436012901. The cubic root of 58286256 is about 387.7234363148.

The spelling of 58286256 in words is "fifty-eight million, two hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4231 4592 6888 8462 12693 13776 16924 25386 29617 33848 50772 59234 67696 88851 101544 118468 173471 177702 203088 236936 346942 355404 473872 520413 693884 710808 1040826 1214297 1387768 1421616 2081652 2428594 2775536 3642891 4163304 4857188 7285782 8326608 9714376 14571564 19428752 29143128 58286256