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58716192 = 253837369
BaseRepresentation
bin1101111111111…
…1000000100000
311002111002110210
43133333000200
5110012404232
65454254120
71312036143
oct337770040
9132432423
1058716192
1130164387
12177b7340
13c21a812
147b2605a
15524c5cc
hex37ff020

58716192 has 48 divisors (see below), whose sum is σ = 156008160. Its totient is φ = 19333632.

The previous prime is 58716191. The next prime is 58716193. The reversal of 58716192 is 29161785.

It is an interprime number because it is at equal distance from previous prime (58716191) and next prime (58716193).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58716192.

It is not an unprimeable number, because it can be changed into a prime (58716191) 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, 4284 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (3250170).

Almost surely, 258716192 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 58716192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78004080).

58716192 is an abundant number, since it is smaller than the sum of its proper divisors (97291968).

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

58716192 is a wasteful number, since it uses less digits than its factorization.

58716192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7465 (or 7457 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 58716192 is about 7662.6491502613. The cubic root of 58716192 is about 388.6744213312.

The spelling of 58716192 in words is "fifty-eight million, seven hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7369 7968 14738 22107 29476 44214 58952 88428 117904 176856 235808 353712 611627 707424 1223254 1834881 2446508 3669762 4893016 7339524 9786032 14679048 19572064 29358096 58716192