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58465212 = 223132127227
BaseRepresentation
bin1101111100000…
…1101110111100
311002000100012020
43133001232330
5104431341322
65445040140
71306642341
oct337015674
9132010166
1058465212
1130002863
12176b6050
13c160500
147a9c7c8
1551ed05c
hex37c1bbc

58465212 has 72 divisors (see below), whose sum is σ = 149538816. Its totient is φ = 17769024.

The previous prime is 58465157. The next prime is 58465213. The reversal of 58465212 is 21256485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58465213) 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, 257443 + ... + 257669.

It is an arithmetic number, because the mean of its divisors is an integer number (2076928).

Almost surely, 258465212 is an apocalyptic number.

58465212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58465212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74769408).

58465212 is an abundant number, since it is smaller than the sum of its proper divisors (91073604).

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

58465212 is a wasteful number, since it uses less digits than its factorization.

58465212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 58465212 is about 7646.2547694934. The cubic root of 58465212 is about 388.1198393416.

The spelling of 58465212 in words is "fifty-eight million, four hundred sixty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 169 227 254 338 381 454 507 508 676 681 762 908 1014 1362 1524 1651 2028 2724 2951 3302 4953 5902 6604 8853 9906 11804 17706 19812 21463 28829 35412 38363 42926 57658 64389 76726 85852 86487 115089 115316 128778 153452 172974 230178 257556 345948 374777 460356 749554 1124331 1499108 2248662 4497324 4872101 9744202 14616303 19488404 29232606 58465212