Search a number
-
+
259916096 = 2611292439
BaseRepresentation
bin11110111111000…
…00000101000000
3200010002002212002
433133200011000
51013014303341
641442523132
76304151606
oct1737400500
9603062762
10259916096
111237968a0
12730664a8
1341b0500b
142673b876
1517c4229b
hexf7e0140

259916096 has 84 divisors (see below), whose sum is σ = 584057760. Its totient is φ = 113809920.

The previous prime is 259916093. The next prime is 259916101. The reversal of 259916096 is 690619952.

It is a self number, because there is not a number n which added to its sum of digits gives 259916096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259916093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591845 + ... + 592283.

Almost surely, 2259916096 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 259916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292028880).

259916096 is an abundant number, since it is smaller than the sum of its proper divisors (324141664).

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

259916096 is a wasteful number, since it uses less digits than its factorization.

259916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The square root of 259916096 is about 16121.9135340691. The cubic root of 259916096 is about 638.1817663916.

The spelling of 259916096 in words is "two hundred fifty-nine million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 439 464 638 704 841 878 928 1276 1682 1756 1856 2552 3364 3512 4829 5104 6728 7024 9251 9658 10208 12731 13456 14048 18502 19316 20416 25462 26912 28096 37004 38632 50924 53824 74008 77264 101848 140041 148016 154528 203696 280082 296032 309056 369199 407392 560164 592064 738398 814784 1120328 1476796 2240656 2953592 4061189 4481312 5907184 8122378 8962624 11814368 16244756 23628736 32489512 64979024 129958048 259916096