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58246056 = 233211251293
BaseRepresentation
bin1101111000110…
…0001110101000
311001121012120100
43132030032220
5104402333211
65440225400
71305040401
oct336141650
9131535510
1058246056
112a973140
121760b260
13c0b482b
147a429a8
1551a8156
hex378c3a8

58246056 has 96 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 17520000.

The previous prime is 58246009. The next prime is 58246061. The reversal of 58246056 is 65064285.

58246056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 58246056.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 198646 + ... + 198938.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 258246056 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 58246056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

58246056 is an abundant number, since it is smaller than the sum of its proper divisors (115119864).

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

58246056 is a wasteful number, since it uses less digits than its factorization.

58246056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 58246056 is about 7631.9103768323. The cubic root of 58246056 is about 387.6342782645.

The spelling of 58246056 in words is "fifty-eight million, two hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 251 264 293 396 502 586 753 792 879 1004 1172 1506 1758 2008 2259 2344 2637 2761 3012 3223 3516 4518 5274 5522 6024 6446 7032 8283 9036 9669 10548 11044 12892 16566 18072 19338 21096 22088 24849 25784 29007 33132 38676 49698 58014 66264 73543 77352 99396 116028 147086 198792 220629 232056 294172 441258 588344 661887 808973 882516 1323774 1617946 1765032 2426919 2647548 3235892 4853838 5295096 6471784 7280757 9707676 14561514 19415352 29123028 58246056