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1458908164 = 227228126489
BaseRepresentation
bin101011011110101…
…0010110000000100
310202200012012202201
41112331102300010
510441440030124
6400433244244
751103341400
oct12675226004
93680165681
101458908164
1168957432a
12348703684
131a333578c
14dba88100
158812e144
hex56f52c04

1458908164 has 36 divisors (see below), whose sum is σ = 2980601820. Its totient is φ = 622997760.

The previous prime is 1458908161. The next prime is 1458908167. The reversal of 1458908164 is 4618098541.

It is an interprime number because it is at equal distance from previous prime (1458908161) and next prime (1458908167).

It can be written as a sum of positive squares in 2 ways, for example, as 652802500 + 806105664 = 25550^2 + 28392^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1458908161) 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, 41832 + ... + 68320.

It is an arithmetic number, because the mean of its divisors is an integer number (82794495).

Almost surely, 21458908164 is an apocalyptic number.

1458908164 is a gapful number since it is divisible by the number (14) 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 1458908164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490300910).

1458908164 is an abundant number, since it is smaller than the sum of its proper divisors (1521693656).

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

1458908164 is a wasteful number, since it uses less digits than its factorization.

1458908164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26788 (or 26779 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 1458908164 is about 38195.6563499045. The cubic root of 1458908164 is about 1134.1643312123.

The spelling of 1458908164 in words is "one billion, four hundred fifty-eight million, nine hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 281 562 1124 1967 3934 7868 13769 26489 27538 52978 55076 105956 185423 370846 741692 1297961 2595922 5191844 7443409 14886818 29773636 52103863 104207726 208415452 364727041 729454082 1458908164