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4045412052 = 2233118938261
BaseRepresentation
bin1111000100100000…
…0001011011010100
3101102221011020002000
43301020001123110
531241111141202
61505231115300
7202151302143
oct36110013324
911387136060
104045412052
111796590a50
1294a972b30
134c6161756
142a53b575a
1518a24591c
hexf12016d4

4045412052 has 96 divisors (see below), whose sum is σ = 11570428800. Its totient is φ = 1212076800.

The previous prime is 4045412027. The next prime is 4045412069. The reversal of 4045412052 is 2502145404.

4045412052 is a `hidden beast` number, since 4 + 0 + 454 + 1 + 205 + 2 = 666.

It is a super-3 number, since 3×40454120523 (a number of 30 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86602 + ... + 124862.

It is an arithmetic number, because the mean of its divisors is an integer number (120525300).

Almost surely, 24045412052 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 4045412052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785214400).

4045412052 is an abundant number, since it is smaller than the sum of its proper divisors (7525016748).

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

4045412052 is a wasteful number, since it uses less digits than its factorization.

4045412052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38374 (or 38366 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4045412052 is about 63603.5537686378. The cubic root of 4045412052 is about 1593.3857223641.

Adding to 4045412052 its reverse (2502145404), we get a palindrome (6547557456).

The spelling of 4045412052 in words is "four billion, forty-five million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 11748 17622 26433 35244 38261 52866 76522 105732 114783 153044 229566 344349 420871 459132 688698 841742 1033047 1262613 1377396 1683484 2066094 2525226 3405229 3787839 4132188 5050452 6810458 7575678 10215687 11363517 13620916 15151356 20431374 22727034 30647061 37457519 40862748 45454068 61294122 74915038 91941183 112372557 122588244 149830076 183882366 224745114 337117671 367764732 449490228 674235342 1011353013 1348470684 2022706026 4045412052