Search a number
-
+
240881648 = 24721132719
BaseRepresentation
bin11100101101110…
…00111111110000
3121210021001111112
432112320333300
5443131203043
635522532452
75653313600
oct1626707760
9553231445
10240881648
11113a75a47
1268807128
133ab9c227
1423dc4c00
1516232518
hexe5b8ff0

240881648 has 60 divisors (see below), whose sum is σ = 547911360. Its totient is φ = 102283776.

The previous prime is 240881633. The next prime is 240881681. The reversal of 240881648 is 846188042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87233 + ... + 89951.

It is an arithmetic number, because the mean of its divisors is an integer number (9131856).

Almost surely, 2240881648 is an apocalyptic number.

240881648 is a gapful number since it is divisible by the number (28) 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 240881648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273955680).

240881648 is an abundant number, since it is smaller than the sum of its proper divisors (307029712).

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

240881648 is a wasteful number, since it uses less digits than its factorization.

240881648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 240881648 is about 15520.3623669037. The cubic root of 240881648 is about 622.2065394195.

The spelling of 240881648 in words is "two hundred forty million, eight hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 113 196 226 392 452 784 791 904 1582 1808 2719 3164 5438 5537 6328 10876 11074 12656 19033 21752 22148 38066 43504 44296 76132 88592 133231 152264 266462 304528 307247 532924 614494 1065848 1228988 2131696 2150729 2457976 4301458 4915952 8602916 15055103 17205832 30110206 34411664 60220412 120440824 240881648