Search a number
-
+
245286336 = 2631775149
BaseRepresentation
bin11101001111011…
…00010111000000
3122002112211121010
432213230113000
51000243130321
640201200520
76035620341
oct1647542700
9562484533
10245286336
11116504289
126a190140
133ba82059
14248100c8
1516802676
hexe9ec5c0

245286336 has 56 divisors (see below), whose sum is σ = 687171600. Its totient is φ = 76951552.

The previous prime is 245286317. The next prime is 245286337. The reversal of 245286336 is 633682542.

It is a happy number.

245286336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 245286294 and 245286303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245286337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34311 + ... + 40838.

Almost surely, 2245286336 is an apocalyptic number.

It is an amenable number.

245286336 is an abundant number, since it is smaller than the sum of its proper divisors (441885264).

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

245286336 is a wasteful number, since it uses less digits than its factorization.

245286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75181 (or 75171 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 245286336 is about 15661.6198395951. The cubic root of 245286336 is about 625.9761480091.

It can be divided in two parts, 2452 and 86336, that added together give a palindrome (88788).

The spelling of 245286336 in words is "two hundred forty-five million, two hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 75149 150298 225447 300596 450894 601192 901788 1202384 1277533 1803576 2404768 2555066 3607152 3832599 4809536 5110132 7214304 7665198 10220264 14428608 15330396 20440528 30660792 40881056 61321584 81762112 122643168 245286336