Search a number
-
+
92058064 = 2472294049
BaseRepresentation
bin1010111110010…
…11000111010000
320102020000220221
411133023013100
5142031324224
613045042424
72165323600
oct537130720
9212200827
1092058064
1147a6764a
12269b6414
13160c2937
14c324c00
1581366e4
hex57cb1d0

92058064 has 60 divisors (see below), whose sum is σ = 214690500. Its totient is φ = 38083584.

The previous prime is 92058061. The next prime is 92058091. The reversal of 92058064 is 46085029.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34904464 + 57153600 = 5908^2 + 7560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92058061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20712 + ... + 24760.

It is an arithmetic number, because the mean of its divisors is an integer number (3578175).

Almost surely, 292058064 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 92058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107345250).

92058064 is an abundant number, since it is smaller than the sum of its proper divisors (122632436).

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

92058064 is a wasteful number, since it uses less digits than its factorization.

92058064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 92058064 is about 9594.6893644349. The cubic root of 92058064 is about 451.5306951869.

The spelling of 92058064 in words is "ninety-two million, fifty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2842 3248 4049 5684 8098 11368 16196 22736 28343 32392 56686 64784 113372 117421 198401 226744 234842 396802 453488 469684 793604 821947 939368 1587208 1643894 1878736 3174416 3287788 5753629 6575576 11507258 13151152 23014516 46029032 92058064