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4144392 = 233372741
BaseRepresentation
bin1111110011110100001000
321210120001000
433303310020
52030110032
6224455000
750140530
oct17636410
97716030
104144392
11238081a
12147a460
13b21505
1479c4c0
1556ce7c
hex3f3d08

4144392 has 64 divisors (see below), whose sum is σ = 13161600. Its totient is φ = 1183680.

The previous prime is 4144373. The next prime is 4144409. The reversal of 4144392 is 2934414.

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.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 2882.

It is an arithmetic number, because the mean of its divisors is an integer number (205650).

Almost surely, 24144392 is an apocalyptic number.

4144392 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 4144392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580800).

4144392 is an abundant number, since it is smaller than the sum of its proper divisors (9017208).

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

4144392 is a wasteful number, since it uses less digits than its factorization.

4144392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2753 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4144392 is about 2035.7779839658. Note that the first 3 decimals coincide. The cubic root of 4144392 is about 160.6276388813.

The spelling of 4144392 in words is "four million, one hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2741 5482 8223 10964 16446 19187 21928 24669 32892 38374 49338 57561 65784 74007 76748 98676 115122 148014 153496 172683 197352 230244 296028 345366 460488 518049 592056 690732 1036098 1381464 2072196 4144392