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4157347220 = 2251331750441
BaseRepresentation
bin1111011111001100…
…0001010110010100
3101201201210010020222
43313303001112110
532003240102340
61524310213512
7205010603555
oct36763012624
911651703228
104157347220
111843794554
12980354298
135133c3890
142b61d232c
15194ea68b5
hexf7cc1594

4157347220 has 48 divisors (see below), whose sum is σ = 9431846928. Its totient is φ = 1530147840.

The previous prime is 4157347211. The next prime is 4157347261. The reversal of 4157347220 is 227437514.

It can be written as a sum of positive squares in 8 ways, for example, as 426092164 + 3731255056 = 20642^2 + 61084^2 .

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, 57200 + ... + 107640.

It is an arithmetic number, because the mean of its divisors is an integer number (196496811).

Almost surely, 24157347220 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 4157347220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715923464).

4157347220 is an abundant number, since it is smaller than the sum of its proper divisors (5274499708).

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

4157347220 is a wasteful number, since it uses less digits than its factorization.

4157347220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50780 (or 50778 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 4157347220 is about 64477.4939029116. The cubic root of 4157347220 is about 1607.9483685352.

The spelling of 4157347220 in words is "four billion, one hundred fifty-seven million, three hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 317 634 1268 1585 3170 4121 6340 8242 16484 20605 41210 50441 82420 100882 201764 252205 504410 655733 1008820 1311466 2622932 3278665 6557330 13114660 15989797 31979594 63959188 79948985 159897970 207867361 319795940 415734722 831469444 1039336805 2078673610 4157347220