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59089329 = 3213253733
BaseRepresentation
bin1110000101101…
…0000110110001
311010012001022200
43201122012301
5110111324304
65510253413
71315152045
oct341320661
9133161280
1059089329
1130399762
1217957269
13c31b600
147bc2025
1552c2e39
hex385a1b1

59089329 has 36 divisors (see below), whose sum is σ = 94294044. Its totient is φ = 35627904.

The previous prime is 59089321. The next prime is 59089351. The reversal of 59089329 is 92398095.

It can be written as a sum of positive squares in 6 ways, for example, as 106929 + 58982400 = 327^2 + 7680^2 .

It is not a de Polignac number, because 59089329 - 23 = 59089321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (59089321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80247 + ... + 80979.

It is an arithmetic number, because the mean of its divisors is an integer number (2619279).

Almost surely, 259089329 is an apocalyptic number.

It is an amenable number.

59089329 is a deficient number, since it is larger than the sum of its proper divisors (35204715).

59089329 is a wasteful number, since it uses less digits than its factorization.

59089329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 59089329 is about 7686.9583711635. The cubic root of 59089329 is about 389.4960156646.

The spelling of 59089329 in words is "fifty-nine million, eighty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 39 53 117 159 169 477 507 689 733 1521 2067 2199 6201 6597 8957 9529 26871 28587 38849 80613 85761 116547 123877 349641 371631 505037 1114893 1515111 4545333 6565481 19696443 59089329