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4828164 = 2231179463
BaseRepresentation
bin10010011010110000000100
3100002021222220
4102122300010
52214000124
6251252340
756016165
oct22326004
910067886
104828164
1127a8520
12174a0b0
131000803
148d976c
15655879
hex49ac04

4828164 has 48 divisors (see below), whose sum is σ = 12472320. Its totient is φ = 1441440.

The previous prime is 4828163. The next prime is 4828171. The reversal of 4828164 is 4618284.

It is a super-2 number, since 2×48281642 = 46622335221792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4828163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10197 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (259840).

Almost surely, 24828164 is an apocalyptic number.

4828164 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 4828164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236160).

4828164 is an abundant number, since it is smaller than the sum of its proper divisors (7644156).

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

4828164 is a wasteful number, since it uses less digits than its factorization.

4828164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4828164 is about 2197.3083534179. The cubic root of 4828164 is about 169.0158126259.

It can be divided in two parts, 482 and 8164, that added together give a triangular number (8646 = T131).

The spelling of 4828164 in words is "four million, eight hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 463 474 869 926 948 1389 1738 1852 2607 2778 3476 5093 5214 5556 10186 10428 15279 20372 30558 36577 61116 73154 109731 146308 219462 402347 438924 804694 1207041 1609388 2414082 4828164