Search a number
-
+
58813392 = 243112329167
BaseRepresentation
bin1110000001011…
…0101111010000
311002200000210210
43200112233100
5110024012032
65500324120
71312622421
oct340265720
9132600723
1058813392
1130220410
1217843640
13c252b31
147b4d648
15526b2cc
hex3816bd0

58813392 has 160 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 16360960.

The previous prime is 58813373. The next prime is 58813397. The reversal of 58813392 is 29331885.

It is a self number, because there is not a number n which added to its sum of digits gives 58813392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58813397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352093 + ... + 352259.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 258813392 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 58813392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

58813392 is an abundant number, since it is smaller than the sum of its proper divisors (121175088).

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

58813392 is a wasteful number, since it uses less digits than its factorization.

58813392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 58813392 is about 7668.9889816064. The cubic root of 58813392 is about 388.8887763205. Note that the first 3 decimals are identical.

It can be divided in two parts, 588 and 13392, that multiplied together give a triangular number (7874496 = T3968).

The spelling of 58813392 in words is "fifty-eight million, eight hundred thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 29 33 44 46 48 58 66 69 87 88 92 116 132 138 167 174 176 184 232 253 264 276 319 334 348 368 464 501 506 528 552 638 667 668 696 759 957 1002 1012 1104 1276 1334 1336 1392 1518 1837 1914 2001 2004 2024 2552 2668 2672 3036 3674 3828 3841 4002 4008 4048 4843 5104 5336 5511 6072 7337 7348 7656 7682 8004 8016 9686 10672 11022 11523 12144 14529 14674 14696 15312 15364 16008 19372 22011 22044 23046 29058 29348 29392 30728 32016 38744 42251 44022 44088 46092 53273 58116 58696 61456 77488 84502 88044 88176 92184 106546 111389 116232 117392 126753 159819 169004 176088 184368 213092 222778 232464 253506 319638 334167 338008 352176 426184 445556 507012 639276 668334 676016 852368 891112 1014024 1225279 1278552 1336668 1782224 2028048 2450558 2557104 2673336 3675837 4901116 5346672 7351674 9802232 14703348 19604464 29406696 58813392