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4427136 = 2734761
BaseRepresentation
bin10000111000110110000000
322022220220000
4100320312000
52113132021
6234520000
752426050
oct20706600
98286800
104427136
11255419a
121596000
13bc010c
14833560
155c6b26
hex438d80

4427136 has 160 divisors (see below), whose sum is σ = 15304080. Its totient is φ = 1244160.

The previous prime is 4427131. The next prime is 4427147. The reversal of 4427136 is 6317244.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72546 + ... + 72606.

Almost surely, 24427136 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 4427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652040).

4427136 is an abundant number, since it is smaller than the sum of its proper divisors (10876944).

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

4427136 is an equidigital number, since it uses as much as digits as its factorization.

4427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4427136 is about 2104.0760442532. The cubic root of 4427136 is about 164.2004291518.

The spelling of 4427136 in words is "four million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 61 63 64 72 81 84 96 108 112 122 126 128 144 162 168 183 189 192 216 224 244 252 288 324 336 366 378 384 427 432 448 488 504 549 567 576 648 672 732 756 854 864 896 976 1008 1098 1134 1152 1281 1296 1344 1464 1512 1647 1708 1728 1952 2016 2196 2268 2562 2592 2688 2928 3024 3294 3416 3456 3843 3904 4032 4392 4536 4941 5124 5184 5856 6048 6588 6832 7686 7808 8064 8784 9072 9882 10248 10368 11529 11712 12096 13176 13664 15372 17568 18144 19764 20496 23058 23424 24192 26352 27328 30744 34587 35136 36288 39528 40992 46116 52704 54656 61488 69174 70272 72576 79056 81984 92232 105408 122976 138348 158112 163968 184464 210816 245952 276696 316224 368928 491904 553392 632448 737856 1106784 1475712 2213568 4427136