Search a number
-
+
2082444 = 2237131907
BaseRepresentation
bin111111100011010001100
310220210120120
413330122030
51013114234
6112344540
723462160
oct7743214
93823516
102082444
1111a2631
12845150
1357bb20
143c2ca0
152b2049
hex1fc68c

2082444 has 48 divisors (see below), whose sum is σ = 5983488. Its totient is φ = 548928.

The previous prime is 2082439. The next prime is 2082463. The reversal of 2082444 is 4442802.

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, 139 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (124656).

22082444 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 2082444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991744).

2082444 is an abundant number, since it is smaller than the sum of its proper divisors (3901044).

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

2082444 is a wasteful number, since it uses less digits than its factorization.

2082444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2082444 is about 1443.0675659857. The cubic root of 2082444 is about 127.7000626918.

The spelling of 2082444 in words is "two million, eighty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1907 3814 5721 7628 11442 13349 22884 24791 26698 40047 49582 53396 74373 80094 99164 148746 160188 173537 297492 347074 520611 694148 1041222 2082444