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4366164 = 2231123197
BaseRepresentation
bin10000101001111101010100
322012211020210
4100221331110
52104204124
6233325420
752053225
oct20517524
98184223
104366164
112512400
121566870
13b9b43a
1481924c
155b3a29
hex429f54

4366164 has 72 divisors (see below), whose sum is σ = 11678464. Its totient is φ = 1267200.

The previous prime is 4366163. The next prime is 4366171. The reversal of 4366164 is 4616634.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4366163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44964 + ... + 45060.

Almost surely, 24366164 is an apocalyptic number.

4366164 is a gapful number since it is divisible by the number (44) 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 4366164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839232).

4366164 is an abundant number, since it is smaller than the sum of its proper divisors (7312300).

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

4366164 is a wasteful number, since it uses less digits than its factorization.

4366164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 4366164 is about 2089.5367907745. The cubic root of 4366164 is about 163.4431340926.

The spelling of 4366164 in words is "four million, three hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 97 121 124 132 186 194 242 291 341 363 372 388 484 582 682 726 1023 1067 1164 1364 1452 2046 2134 3007 3201 3751 4092 4268 6014 6402 7502 9021 11253 11737 12028 12804 15004 18042 22506 23474 33077 35211 36084 45012 46948 66154 70422 99231 132308 140844 198462 363847 396924 727694 1091541 1455388 2183082 4366164