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4427124 = 2231323759
BaseRepresentation
bin10000111000110101110100
322022220212120
4100320311310
52113131444
6234515540
752426032
oct20706564
98286776
104427124
112554189
121595bb0
13bc0100
14833552
155c6b19
hex438d74

4427124 has 72 divisors (see below), whose sum is σ = 11682720. Its totient is φ = 1302912.

The previous prime is 4427119. The next prime is 4427131. The reversal of 4427124 is 4217244.

It is a super-2 number, since 2×44271242 = 39198853822752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4427094 and 4427103.

It is a congruent number.

It is an unprimeable number.

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, 75007 + ... + 75065.

It is an arithmetic number, because the mean of its divisors is an integer number (162260).

Almost surely, 24427124 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 4427124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841360).

4427124 is an abundant number, since it is smaller than the sum of its proper divisors (7255596).

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

4427124 is a wasteful number, since it uses less digits than its factorization.

4427124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 4427124 is about 2104.0731926433. The cubic root of 4427124 is about 164.2002807935.

The spelling of 4427124 in words is "four million, four hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 59 74 78 111 118 148 156 169 177 222 236 338 354 444 481 507 676 708 767 962 1014 1443 1534 1924 2028 2183 2301 2886 3068 4366 4602 5772 6253 6549 8732 9204 9971 12506 13098 18759 19942 25012 26196 28379 29913 37518 39884 56758 59826 75036 85137 113516 119652 170274 340548 368927 737854 1106781 1475708 2213562 4427124