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58314192 = 24319431487
BaseRepresentation
bin1101111001110…
…0110111010000
311001201200000220
43132130313100
5104412023232
65441513040
71305443136
oct336346720
9131650026
1058314192
112aa0a352
1217642780
13c109851
147a5d756
1551bd42c
hex379cdd0

58314192 has 80 divisors (see below), whose sum is σ = 162370560. Its totient is φ = 17974656.

The previous prime is 58314161. The next prime is 58314197. The reversal of 58314192 is 29141385.

It is a super-2 number, since 2×583141922 = 6801089977225728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58314197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38473 + ... + 39959.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 258314192 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 58314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185280).

58314192 is an abundant number, since it is smaller than the sum of its proper divisors (104056368).

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

58314192 is a wasteful number, since it uses less digits than its factorization.

58314192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 58314192 is about 7636.3729610333. The cubic root of 58314192 is about 387.7853703661.

The spelling of 58314192 in words is "fifty-eight million, three hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 258 304 344 456 516 688 817 912 1032 1487 1634 2064 2451 2974 3268 4461 4902 5948 6536 8922 9804 11896 13072 17844 19608 23792 28253 35688 39216 56506 63941 71376 84759 113012 127882 169518 191823 226024 255764 339036 383646 452048 511528 678072 767292 1023056 1214879 1356144 1534584 2429758 3069168 3644637 4859516 7289274 9719032 14578548 19438064 29157096 58314192