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58372488 = 233610009
BaseRepresentation
bin1101111010101…
…1000110001000
311001211122000000
43132223012020
5104420404423
65443043000
71306105116
oct336530610
9131748000
1058372488
112aa4a129
1217670460
13c12a245
147a76ab6
1551d0843
hex37ab188

58372488 has 56 divisors (see below), whose sum is σ = 164113950. Its totient is φ = 19455552.

The previous prime is 58372423. The next prime is 58372499. The reversal of 58372488 is 88427385.

58372488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 27436644 = 5562^2 + 5238^2 .

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 13 ways as a sum of consecutive naturals, for example, 828 + ... + 10836.

Almost surely, 258372488 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 58372488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056975).

58372488 is an abundant number, since it is smaller than the sum of its proper divisors (105741462).

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

58372488 is a wasteful number, since it uses less digits than its factorization.

58372488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10014 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 58372488 is about 7640.1890028978. The cubic root of 58372488 is about 387.9145487946.

The spelling of 58372488 in words is "fifty-eight million, three hundred seventy-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 10009 20018 30027 40036 60054 80072 90081 120108 180162 240216 270243 360324 540486 720648 810729 1080972 1621458 2161944 2432187 3242916 4864374 6485832 7296561 9728748 14593122 19457496 29186244 58372488