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4241592 = 233373269
BaseRepresentation
bin10000001011100010111000
321222111101000
4100023202320
52041212332
6230525000
751024105
oct20134270
97874330
104241592
112437853
121506760
13b56824
147c5aac
1558bb7c
hex40b8b8

4241592 has 64 divisors (see below), whose sum is σ = 11988000. Its totient is φ = 1389312.

The previous prime is 4241581. The next prime is 4241593. The reversal of 4241592 is 2951424.

It is a super-2 number, since 2×42415922 = 35982205388928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15634 + ... + 15902.

Almost surely, 24241592 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 4241592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994000).

4241592 is an abundant number, since it is smaller than the sum of its proper divisors (7746408).

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

4241592 is a wasteful number, since it uses less digits than its factorization.

4241592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4241592 is about 2059.5125636907. The cubic root of 4241592 is about 161.8737012860.

It can be divided in two parts, 424 and 1592, that added together give a triangular number (2016 = T63).

The spelling of 4241592 in words is "four million, two hundred forty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 269 292 438 538 584 657 807 876 1076 1314 1614 1752 1971 2152 2421 2628 3228 3942 4842 5256 6456 7263 7884 9684 14526 15768 19368 19637 29052 39274 58104 58911 78548 117822 157096 176733 235644 353466 471288 530199 706932 1060398 1413864 2120796 4241592