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4613112 = 23367113
BaseRepresentation
bin10001100110001111111000
322200101000000
4101212033320
52140104422
6242513000
754132210
oct21461770
98611000
104613112
112670999
121665760
13c5696a
14881240
15611cac
hex4663f8

4613112 has 112 divisors (see below), whose sum is σ = 14952240. Its totient is φ = 1306368.

The previous prime is 4613101. The next prime is 4613113. The reversal of 4613112 is 2113164.

It is a happy number.

4613112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613113) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40768 + ... + 40880.

Almost surely, 24613112 is an apocalyptic number.

4613112 is a gapful number since it is divisible by the number (42) 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 4613112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476120).

4613112 is an abundant number, since it is smaller than the sum of its proper divisors (10339128).

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

4613112 is a wasteful number, since it uses less digits than its factorization.

4613112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4613112 is about 2147.8156345459. The cubic root of 4613112 is about 166.4682189158.

Adding to 4613112 its reverse (2113164), we get a palindrome (6726276).

The spelling of 4613112 in words is "four million, six hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 113 126 162 168 189 216 226 243 252 324 339 378 452 486 504 567 648 678 729 756 791 904 972 1017 1134 1356 1458 1512 1582 1701 1944 2034 2268 2373 2712 2916 3051 3164 3402 4068 4536 4746 5103 5832 6102 6328 6804 7119 8136 9153 9492 10206 12204 13608 14238 18306 18984 20412 21357 24408 27459 28476 36612 40824 42714 54918 56952 64071 73224 82377 85428 109836 128142 164754 170856 192213 219672 256284 329508 384426 512568 576639 659016 768852 1153278 1537704 2306556 4613112