Search a number
-
+
46058000 = 245323029
BaseRepresentation
bin1010111110110…
…0101000010000
310012122222200212
42233230220100
543242324000
64323103252
71066325612
oct257545020
9105588625
1046058000
1123aa906a
1213511b28
139708071
14618cdb2
15409bc35
hex2beca10

46058000 has 40 divisors (see below), whose sum is σ = 111373080. Its totient is φ = 18422400.

The previous prime is 46057987. The next prime is 46058017. The reversal of 46058000 is 85064.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 46022656 = 188^2 + 6784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9515 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (2784327).

Almost surely, 246058000 is an apocalyptic number.

46058000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46058000 is an abundant number, since it is smaller than the sum of its proper divisors (65315080).

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

46058000 is a wasteful number, since it uses less digits than its factorization.

46058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23052 (or 23036 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 46058000 is about 6786.6044528910. The cubic root of 46058000 is about 358.4553157207.

The spelling of 46058000 in words is "forty-six million, fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23029 46058 92116 115145 184232 230290 368464 460580 575725 921160 1151450 1842320 2302900 2878625 4605800 5757250 9211600 11514500 23029000 46058000