Search a number
-
+
46303164 = 22376779
BaseRepresentation
bin1011000010100…
…0011110111100
310020010110000000
42300220132330
543323200124
64332234300
71101366435
oct260503674
9106113000
1046303164
1124156286
121360b990
13979282b
14621448c
1540e96c9
hex2c287bc

46303164 has 96 divisors (see below), whose sum is σ = 124902400. Its totient is φ = 15011568.

The previous prime is 46303151. The next prime is 46303177. The reversal of 46303164 is 46130364.

46303164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46303151) and next prime (46303177).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586077 + ... + 586155.

Almost surely, 246303164 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 46303164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62451200).

46303164 is an abundant number, since it is smaller than the sum of its proper divisors (78599236).

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

46303164 is an equidigital number, since it uses as much as digits as its factorization.

46303164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 46303164 is about 6804.6428267764. The cubic root of 46303164 is about 359.0902026837.

The spelling of 46303164 in words is "forty-six million, three hundred three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 79 81 108 134 158 162 201 237 243 268 316 324 402 474 486 603 711 729 804 948 972 1206 1422 1458 1809 2133 2187 2412 2844 2916 3618 4266 4374 5293 5427 6399 7236 8532 8748 10586 10854 12798 15879 16281 19197 21172 21708 25596 31758 32562 38394 47637 48843 57591 63516 65124 76788 95274 97686 115182 142911 146529 172773 190548 195372 230364 285822 293058 345546 428733 571644 586116 691092 857466 1286199 1714932 2572398 3858597 5144796 7717194 11575791 15434388 23151582 46303164