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58299408 = 2432616637
BaseRepresentation
bin1101111001100…
…1010000010000
311001200220202100
43132121100100
5104411040113
65441320400
71305352056
oct336312020
9131626670
1058299408
112a9aa232
1217636100
13c102bbb
147a581d6
1551b8d73
hex3799410

58299408 has 60 divisors (see below), whose sum is σ = 165857068. Its totient is φ = 19111680.

The previous prime is 58299407. The next prime is 58299419. The reversal of 58299408 is 80499285.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 56972304 = 1152^2 + 7548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58299401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5466 + ... + 12102.

Almost surely, 258299408 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 58299408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82928534).

58299408 is an abundant number, since it is smaller than the sum of its proper divisors (107557660).

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

58299408 is a wasteful number, since it uses less digits than its factorization.

58299408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58299408 is about 7635.4049008550. The cubic root of 58299408 is about 387.7525967349.

The spelling of 58299408 in words is "fifty-eight million, two hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 6637 8784 13274 19911 26548 39822 53096 59733 79644 106192 119466 159288 238932 318576 404857 477864 809714 955728 1214571 1619428 2429142 3238856 3643713 4858284 6477712 7287426 9716568 14574852 19433136 29149704 58299408