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4155424 = 257131427
BaseRepresentation
bin1111110110100000100000
321211010011121
433312200200
52030433144
6225022024
750214640
oct17664040
97733147
104155424
112389039
121484914
13b26540
147a2520
15571384
hex3f6820

4155424 has 48 divisors (see below), whose sum is σ = 10075968. Its totient is φ = 1642752.

The previous prime is 4155419. The next prime is 4155427. The reversal of 4155424 is 4245514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4155427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2199 + ... + 3625.

It is an arithmetic number, because the mean of its divisors is an integer number (209916).

Almost surely, 24155424 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 4155424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037984).

4155424 is an abundant number, since it is smaller than the sum of its proper divisors (5920544).

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

4155424 is a wasteful number, since it uses less digits than its factorization.

4155424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its digits is 3200, while the sum is 25.

The square root of 4155424 is about 2038.4857124837. The cubic root of 4155424 is about 160.7700380633.

The spelling of 4155424 in words is "four million, one hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1427 1456 2854 2912 5708 9989 11416 18551 19978 22832 37102 39956 45664 74204 79912 129857 148408 159824 259714 296816 319648 519428 593632 1038856 2077712 4155424