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58838444 = 22741107479
BaseRepresentation
bin1110000001110…
…0110110101100
311002201022011122
43200130312230
5110030312234
65501040112
71313055440
oct340346654
9132638148
1058838444
1130238215
1217856038
13c261362
147b58820
15527392e
hex381cdac

58838444 has 48 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 24320640.

The previous prime is 58838443. The next prime is 58838447. The reversal of 58838444 is 44483885.

58838444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×588384442 = 6923924984682272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58838395 and 58838404.

It is not an unprimeable number, because it can be changed into a prime (58838443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 122597 + ... + 123075.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 258838444 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 58838444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

58838444 is an abundant number, since it is smaller than the sum of its proper divisors (63089236).

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

58838444 is a wasteful number, since it uses less digits than its factorization.

58838444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its digits is 491520, while the sum is 44.

The square root of 58838444 is about 7670.6221390445. The cubic root of 58838444 is about 388.9439851673.

The spelling of 58838444 in words is "fifty-eight million, eight hundred thirty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 107 164 214 287 428 479 574 749 958 1148 1498 1916 2996 3353 4387 6706 8774 13412 17548 19639 30709 39278 51253 61418 78556 102506 122836 137473 205012 274946 358771 549892 717542 1435084 2101373 4202746 8405492 14709611 29419222 58838444