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58472648 = 2313261709
BaseRepresentation
bin1101111100001…
…1100011001000
311002000201101122
43133003203020
5104432111043
65445134412
71310003123
oct337034310
9132021348
1058472648
1130008403
12176ba408
13c163a00
147aa13ba
155200368
hex37c38c8

58472648 has 48 divisors (see below), whose sum is σ = 120834900. Its totient is φ = 26507520.

The previous prime is 58472591. The next prime is 58472657. The reversal of 58472648 is 84627485.

58472648 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 6 ways, for example, as 743044 + 57729604 = 862^2 + 7598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58472599 and 58472608.

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 11 ways as a sum of consecutive naturals, for example, 82118 + ... + 82826.

Almost surely, 258472648 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 58472648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60417450).

58472648 is an abundant number, since it is smaller than the sum of its proper divisors (62362252).

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

58472648 is a wasteful number, since it uses less digits than its factorization.

58472648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 58472648 is about 7646.7410051603. The cubic root of 58472648 is about 388.1362932104.

The spelling of 58472648 in words is "fifty-eight million, four hundred seventy-two thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 676 709 793 1352 1418 1586 2836 3172 5672 6344 9217 10309 18434 20618 36868 41236 43249 73736 82472 86498 119821 172996 239642 345992 479284 562237 958568 1124474 2248948 4497896 7309081 14618162 29236324 58472648