Search a number
-
+
58872840 = 23351322903
BaseRepresentation
bin1110000010010…
…1010000001000
311002210001100120
43200211100020
5110032412330
65501503240
71313260635
oct340452010
9132701316
1058872840
1130261044
1217871b20
13c273c00
147b6718c
15527dc10
hex3825408

58872840 has 96 divisors (see below), whose sum is σ = 191315520. Its totient is φ = 14486784.

The previous prime is 58872817. The next prime is 58872881. The reversal of 58872840 is 4827885.

It is a super-2 number, since 2×588728402 = 6932022579331200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58872792 and 58872801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18829 + ... + 21731.

It is an arithmetic number, because the mean of its divisors is an integer number (1992870).

Almost surely, 258872840 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 58872840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95657760).

58872840 is an abundant number, since it is smaller than the sum of its proper divisors (132442680).

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

58872840 is a wasteful number, since it uses less digits than its factorization.

58872840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 58872840 is about 7672.8638721145. The cubic root of 58872840 is about 389.0197605186.

The spelling of 58872840 in words is "fifty-eight million, eight hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 2903 3380 4056 5070 5806 6760 8709 10140 11612 14515 17418 20280 23224 29030 34836 37739 43545 58060 69672 75478 87090 113217 116120 150956 174180 188695 226434 301912 348360 377390 452868 490607 566085 754780 905736 981214 1132170 1471821 1509560 1962428 2264340 2453035 2943642 3924856 4528680 4906070 5887284 7359105 9812140 11774568 14718210 19624280 29436420 58872840