Search a number
-
+
1052124444 = 223374313229
BaseRepresentation
bin111110101101100…
…010010100011100
32201022202110102000
4332231202110130
54123320440234
6252222402300
735033624130
oct7655422434
92638673360
101052124444
1149a995738
12254430390
13139c8a557
149da393c0
156257a899
hex3eb6251c

1052124444 has 96 divisors (see below), whose sum is σ = 3125606400. Its totient is φ = 299816640.

The previous prime is 1052124433. The next prime is 1052124467. The reversal of 1052124444 is 4444212501.

1052124444 is a `hidden beast` number, since 1 + 0 + 5 + 212 + 4 + 444 = 666.

It is a super-2 number, since 2×10521244442 = 2213931691324618272, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324222 + ... + 327450.

It is an arithmetic number, because the mean of its divisors is an integer number (32558400).

Almost surely, 21052124444 is an apocalyptic number.

1052124444 is a gapful number since it is divisible by the number (14) 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 1052124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562803200).

1052124444 is an abundant number, since it is smaller than the sum of its proper divisors (2073481956).

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

1052124444 is a wasteful number, since it uses less digits than its factorization.

1052124444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 1052124444 is about 32436.4678101670. The cubic root of 1052124444 is about 1017.0813798315.

Adding to 1052124444 its reverse (4444212501), we get a palindrome (5496336945).

The spelling of 1052124444 in words is "one billion, fifty-two million, one hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 2586 3017 3229 3879 5172 6034 6458 7758 9051 9687 11637 12068 12916 15516 18102 19374 22603 23274 27153 29061 36204 38748 45206 46548 54306 58122 67809 81459 87183 90412 108612 116244 135618 162918 174366 203427 271236 325836 348732 406854 610281 813708 1220562 1391699 2441124 2783398 4175097 5566796 8350194 9741893 12525291 16700388 19483786 25050582 29225679 37575873 38967572 50101164 58451358 75151746 87677037 116902716 150303492 175354074 263031111 350708148 526062222 1052124444