Search a number
-
+
4259811066 = 237479722247
BaseRepresentation
bin1111110111100111…
…1000111011111010
3101222212120211020020
43331321320323322
532211002423231
61542410311310
7210363540150
oct37571707372
911885524206
104259811066
111896609115
129aa728536
1352b6ba984
142c5a653d0
1519de96396
hexfde78efa

4259811066 has 64 divisors (see below), whose sum is σ = 10046840832. Its totient is φ = 1178860032.

The previous prime is 4259811043. The next prime is 4259811079. The reversal of 4259811066 is 6601189524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180355 + ... + 202601.

It is an arithmetic number, because the mean of its divisors is an integer number (156981888).

Almost surely, 24259811066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4259811066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023420416).

4259811066 is an abundant number, since it is smaller than the sum of its proper divisors (5787029766).

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

4259811066 is a wasteful number, since it uses less digits than its factorization.

4259811066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22403.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4259811066 is about 65267.2281164138. The cubic root of 4259811066 is about 1621.0513758874.

The spelling of 4259811066 in words is "four billion, two hundred fifty-nine million, eight hundred eleven thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 47 94 97 141 194 282 291 329 582 658 679 987 1358 1974 2037 4074 4559 9118 13677 22247 27354 31913 44494 63826 66741 95739 133482 155729 191478 311458 467187 934374 1045609 2091218 2157959 3136827 4315918 6273654 6473877 7319263 12947754 14638526 15105713 21957789 30211426 43915578 45317139 90634278 101424073 202848146 304272219 608544438 709968511 1419937022 2129905533 4259811066