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4157055328 = 25236192593
BaseRepresentation
bin1111011111000111…
…1010000101100000
3101201201020021212011
43313301322011200
532003201232303
61524300042304
7205005246556
oct36761720540
911651207764
104157055328
111843605218
12980233394
13513320a6a
142b6157bd6
15194e4a16d
hexf7c7a160

4157055328 has 48 divisors (see below), whose sum is σ = 8680131936. Its totient is φ = 1955543040.

The previous prime is 4157055323. The next prime is 4157055359. The reversal of 4157055328 is 8235507514.

It is a super-2 number, since 2×41570553282 = 34562218000106375168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157055323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 91192.

It is an arithmetic number, because the mean of its divisors is an integer number (180836082).

Almost surely, 24157055328 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 4157055328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340065968).

4157055328 is an abundant number, since it is smaller than the sum of its proper divisors (4523076608).

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

4157055328 is a wasteful number, since it uses less digits than its factorization.

4157055328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92687 (or 92679 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 4157055328 is about 64475.2303446835. The cubic root of 4157055328 is about 1607.9107357030.

The spelling of 4157055328 in words is "four billion, one hundred fifty-seven million, fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 736 976 1403 1952 2806 5612 11224 22448 44896 92593 185186 370372 740744 1481488 2129639 2962976 4259278 5648173 8518556 11296346 17037112 22592692 34074224 45185384 68148448 90370768 129907979 180741536 259815958 519631916 1039263832 2078527664 4157055328