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4162144 = 257171093
BaseRepresentation
bin1111111000001001100000
321211110101111
433320021200
52031142034
6225113104
750243350
oct17701140
97743344
104162144
112393098
121488794
13b2960c
147a4b60
15573364
hex3f8260

4162144 has 48 divisors (see below), whose sum is σ = 9924768. Its totient is φ = 1677312.

The previous prime is 4162133. The next prime is 4162157. The reversal of 4162144 is 4412614.

4162144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3262 + ... + 4354.

It is an arithmetic number, because the mean of its divisors is an integer number (206766).

Almost surely, 24162144 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 4162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962384).

4162144 is an abundant number, since it is smaller than the sum of its proper divisors (5762624).

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

4162144 is a wasteful number, since it uses less digits than its factorization.

4162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 4162144 is about 2040.1333289763. The cubic root of 4162144 is about 160.8566552009.

Adding to 4162144 its reverse (4412614), we get a palindrome (8574758).

The spelling of 4162144 in words is "four million, one hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1093 1904 2186 3808 4372 7651 8744 15302 17488 18581 30604 34976 37162 61208 74324 122416 130067 148648 244832 260134 297296 520268 594592 1040536 2081072 4162144