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58353316 = 22721783211
BaseRepresentation
bin1101111010011…
…0011010100100
311001210122200221
43132212122210
5104414301231
65442414124
71305665200
oct336463244
9131718627
1058353316
112aa3678a
1217661344
13c1215b8
147a6db00
1551c9d11
hex37a66a4

58353316 has 72 divisors (see below), whose sum is σ = 127897056. Its totient is φ = 23143680.

The previous prime is 58353293. The next prime is 58353319. The reversal of 58353316 is 61335385.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (58353319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276451 + ... + 276661.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 258353316 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 58353316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63948528).

58353316 is an abundant number, since it is smaller than the sum of its proper divisors (69543740).

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

58353316 is a wasteful number, since it uses less digits than its factorization.

58353316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 58353316 is about 7638.9342188554. The cubic root of 58353316 is about 387.8720749492.

The spelling of 58353316 in words is "fifty-eight million, three hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 83 98 119 166 196 211 238 332 422 476 581 833 844 1162 1411 1477 1666 2324 2822 2954 3332 3587 4067 5644 5908 7174 8134 9877 10339 14348 16268 17513 19754 20678 25109 35026 39508 41356 50218 69139 70052 100436 122591 138278 175763 245182 276556 297721 351526 490364 595442 703052 858137 1190884 1716274 2084047 3432548 4168094 8336188 14588329 29176658 58353316