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58420296 = 233211174339
BaseRepresentation
bin1101111011011…
…0110001001000
311001221001120200
43132312301020
5104423422141
65444052200
71306364364
oct336666110
9131831520
1058420296
112aa82040
1217694060
13c145c2c
147a8a2a4
1551deab6
hex37b6c48

58420296 has 96 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 16657920.

The previous prime is 58420267. The next prime is 58420303. The reversal of 58420296 is 69202485.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58420296.

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, 11295 + ... + 15633.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 258420296 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 58420296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

58420296 is an abundant number, since it is smaller than the sum of its proper divisors (124380504).

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

58420296 is a wasteful number, since it uses less digits than its factorization.

58420296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58420296 is about 7643.3170809538. The cubic root of 58420296 is about 388.0204226328.

The spelling of 58420296 in words is "fifty-eight million, four hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4339 4488 6732 8678 13017 13464 17356 26034 34712 39051 47729 52068 73763 78102 95458 104136 143187 147526 156204 190916 221289 286374 295052 312408 381832 429561 442578 572748 590104 663867 811393 859122 885156 1145496 1327734 1622786 1718244 1770312 2434179 2655468 3245572 3436488 4868358 5310936 6491144 7302537 9736716 14605074 19473432 29210148 58420296