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245403144 = 23327539187
BaseRepresentation
bin11101010000010…
…00111000001000
3122002202202211100
432220020320020
51000310400034
640203501400
76036615030
oct1650107010
9562682740
10245403144
11116584018
126a227860
133bac327c
14248408c0
1516827099
hexea08e08

245403144 has 96 divisors (see below), whose sum is σ = 773997120. Its totient is φ = 68784768.

The previous prime is 245403139. The next prime is 245403157. The reversal of 245403144 is 441304542.

It is a happy number.

245403144 is a `hidden beast` number, since 245 + 403 + 14 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22119 + ... + 31305.

It is an arithmetic number, because the mean of its divisors is an integer number (8062470).

Almost surely, 2245403144 is an apocalyptic number.

245403144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386998560).

245403144 is an abundant number, since it is smaller than the sum of its proper divisors (528593976).

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

245403144 is a wasteful number, since it uses less digits than its factorization.

245403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 245403144 is about 15665.3485119227. The cubic root of 245403144 is about 626.0754977724.

Adding to 245403144 its reverse (441304542), we get a palindrome (686707686).

The spelling of 245403144 in words is "two hundred forty-five million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 9187 13356 18374 26712 27561 36748 55122 64309 73496 82683 110244 128618 165366 192927 220488 257236 330732 385854 486911 514472 578781 661464 771708 973822 1157562 1460733 1543416 1947644 2315124 2921466 3408377 3895288 4382199 4630248 5842932 6816754 8764398 10225131 11685864 13633508 17528796 20450262 27267016 30675393 35057592 40900524 61350786 81801048 122701572 245403144