Search a number
-
+
4157159740 = 225418956963
BaseRepresentation
bin1111011111001001…
…0011100100111100
3101201201102121002021
43313302103210330
532003213102430
61524302205524
7205006163146
oct36762234474
911651377067
104157159740
111843676708
129802838a4
13513359446
142b6183c96
15194e6b07a
hexf7c9393c

4157159740 has 48 divisors (see below), whose sum is σ = 9043604640. Its totient is φ = 1604049920.

The previous prime is 4157159717. The next prime is 4157159767. The reversal of 4157159740 is 479517514.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44499 + ... + 101461.

It is an arithmetic number, because the mean of its divisors is an integer number (188408430).

Almost surely, 24157159740 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 4157159740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521802320).

4157159740 is an abundant number, since it is smaller than the sum of its proper divisors (4886444900).

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

4157159740 is a wasteful number, since it uses less digits than its factorization.

4157159740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57102 (or 57100 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 4157159740 is about 64476.0400458961. The cubic root of 4157159740 is about 1607.9241974572.

The spelling of 4157159740 in words is "four billion, one hundred fifty-seven million, one hundred fifty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 89 164 178 205 356 410 445 820 890 1780 3649 7298 14596 18245 36490 56963 72980 113926 227852 284815 569630 1139260 2335483 4670966 5069707 9341932 10139414 11677415 20278828 23354830 25348535 46709660 50697070 101394140 207857987 415715974 831431948 1039289935 2078579870 4157159740