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4057124632 = 2311792232617
BaseRepresentation
bin1111000111010010…
…1100111100011000
3101110202012021201021
43301310230330120
531302110442012
61510330132224
7202352663461
oct36164547430
911422167637
104057124632
1117a2160870
12952881074
134c8702982
142a6b83d68
1518b2ab007
hexf1d2cf18

4057124632 has 64 divisors (see below), whose sum is σ = 8444620800. Its totient is φ = 1811946240.

The previous prime is 4057124623. The next prime is 4057124677. The reversal of 4057124632 is 2364217504.

It is a super-2 number, since 2×40571246322 = 32920520559162270848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548988 + ... + 1551604.

It is an arithmetic number, because the mean of its divisors is an integer number (131947200).

Almost surely, 24057124632 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 4057124632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222310400).

4057124632 is an abundant number, since it is smaller than the sum of its proper divisors (4387496168).

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

4057124632 is a wasteful number, since it uses less digits than its factorization.

4057124632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 4057124632 is about 63695.5621060055. The cubic root of 4057124632 is about 1594.9220038969.

The spelling of 4057124632 in words is "four billion, fifty-seven million, one hundred twenty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 79 88 158 223 316 446 632 869 892 1738 1784 2453 2617 3476 4906 5234 6952 9812 10468 17617 19624 20936 28787 35234 57574 70468 115148 140936 193787 206743 230296 387574 413486 583591 775148 826972 1167182 1550296 1653944 2274173 2334364 4548346 4668728 6419501 9096692 12839002 18193384 25678004 46103689 51356008 92207378 184414756 368829512 507140579 1014281158 2028562316 4057124632