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58374288 = 2432728273
BaseRepresentation
bin1101111010101…
…1100010010000
311001211201110200
43132223202100
5104420434123
65443055200
71306113300
oct336534220
9131751420
1058374288
112aa50515
1217671500
13c12accb
147a77600
1551d1143
hex37ab890

58374288 has 90 divisors (see below), whose sum is σ = 190062054. Its totient is φ = 16676352.

The previous prime is 58374287. The next prime is 58374341. The reversal of 58374288 is 88247385.

58374288 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 only one way, i.e., 54641664 + 3732624 = 7392^2 + 1932^2 .

It is not an unprimeable number, because it can be changed into a prime (58374287) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2920 + ... + 11192.

Almost surely, 258374288 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 58374288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95031027).

58374288 is an abundant number, since it is smaller than the sum of its proper divisors (131687766).

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

58374288 is a wasteful number, since it uses less digits than its factorization.

58374288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8285 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 58374288 is about 7640.3068001226. The cubic root of 58374288 is about 387.9185360555.

The spelling of 58374288 in words is "fifty-eight million, three hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 8273 16546 24819 33092 49638 57911 66184 74457 99276 115822 132368 148914 173733 198552 231644 297828 347466 397104 405377 463288 521199 595656 694932 810754 926576 1042398 1191312 1216131 1389864 1621508 2084796 2432262 2779728 3243016 3648393 4169592 4864524 6486032 7296786 8339184 9729048 14593572 19458096 29187144 58374288