Search a number
-
+
413238696 = 2331312710429
BaseRepresentation
bin11000101000011…
…000010110101000
31001210120200220220
4120220120112220
51321242114241
6105001050040
713145320353
oct3050302650
91053520826
10413238696
111a2298392
12b6486920
13677c8350
143cc4d29a
152642b166
hex18a185a8

413238696 has 64 divisors (see below), whose sum is σ = 1121433600. Its totient is φ = 126137088.

The previous prime is 413238691. The next prime is 413238701. The reversal of 413238696 is 696832314.

It is an interprime number because it is at equal distance from previous prime (413238691) and next prime (413238701).

It is not an unprimeable number, because it can be changed into a prime (413238691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34410 + ... + 44838.

It is an arithmetic number, because the mean of its divisors is an integer number (17522400).

Almost surely, 2413238696 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 413238696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560716800).

413238696 is an abundant number, since it is smaller than the sum of its proper divisors (708194904).

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

413238696 is a wasteful number, since it uses less digits than its factorization.

413238696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 10574 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 413238696 is about 20328.2733157541. The cubic root of 413238696 is about 744.8468649112.

The spelling of 413238696 in words is "four hundred thirteen million, two hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 3048 3302 4953 6604 9906 10429 13208 19812 20858 31287 39624 41716 62574 83432 125148 135577 250296 271154 406731 542308 813462 1084616 1324483 1626924 2648966 3253848 3973449 5297932 7946898 10595864 15893796 17218279 31787592 34436558 51654837 68873116 103309674 137746232 206619348 413238696