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58945216 = 2611101829
BaseRepresentation
bin1110000011011…
…0111011000000
311002220201122011
43200312323000
5110042221331
65503222304
71314011641
oct340667300
9132821564
1058945216
1130300460
12178a7994
13c29ab35
147b856c8
1552953b1
hex3836ec0

58945216 has 56 divisors (see below), whose sum is σ = 129021840. Its totient is φ = 26496000.

The previous prime is 58945213. The next prime is 58945219. The reversal of 58945216 is 61254985.

It is an interprime number because it is at equal distance from previous prime (58945213) and next prime (58945219).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58945213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70690 + ... + 71518.

Almost surely, 258945216 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 58945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64510920).

58945216 is an abundant number, since it is smaller than the sum of its proper divisors (70076624).

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

58945216 is a wasteful number, since it uses less digits than its factorization.

58945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 58945216 is about 7677.5787850077. The cubic root of 58945216 is about 389.1791105359.

The spelling of 58945216 in words is "fifty-eight million, nine hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 808 829 1111 1616 1658 2222 3232 3316 4444 6464 6632 8888 9119 13264 17776 18238 26528 35552 36476 53056 71104 72952 83729 145904 167458 291808 334916 583616 669832 921019 1339664 1842038 2679328 3684076 5358656 7368152 14736304 29472608 58945216