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58839552 = 29321132
BaseRepresentation
bin1110000001110…
…1001000000000
311002201100200200
43200131020000
5110030331202
65501045200
71313061612
oct340351000
9132640620
1058839552
1130239032
1217856800
13c261a05
147b58db2
155273e1c
hex381d200

58839552 has 90 divisors (see below), whose sum is σ = 171331017. Its totient is φ = 19439616.

The previous prime is 58839541. The next prime is 58839559. The reversal of 58839552 is 25593885.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 21678336 = 6096^2 + 4656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5424.

Its product of digits (432000) is a multiple of the sum of its prime factors (250).

It is a junction number, because it is equal to n+sod(n) for n = 58839498 and 58839507.

It is not an unprimeable number, because it can be changed into a prime (58839559) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 520648 + ... + 520760.

Almost surely, 258839552 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 58839552

58839552 is an abundant number, since it is smaller than the sum of its proper divisors (112491465).

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

58839552 is an equidigital number, since it uses as much as digits as its factorization.

58839552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 118 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 58839552 is about 7670.6943623117. The cubic root of 58839552 is about 388.9464265826.

The spelling of 58839552 in words is "fifty-eight million, eight hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1152 1356 1536 1808 2034 2304 2712 3616 4068 4608 5424 7232 8136 10848 12769 14464 16272 21696 25538 28928 32544 38307 43392 51076 57856 65088 76614 86784 102152 114921 130176 153228 173568 204304 229842 260352 306456 408608 459684 520704 612912 817216 919368 1225824 1634432 1838736 2451648 3268864 3677472 4903296 6537728 7354944 9806592 14709888 19613184 29419776 58839552