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241074656 = 2547891801
BaseRepresentation
bin11100101111010…
…00000111100000
3121210121212020222
432113220013200
5443203342111
635531022212
75655046364
oct1627500740
9553555228
10241074656
11114097a59
126889a968
133ac39034
14240352a4
151626e7db
hexe5e81e0

241074656 has 48 divisors (see below), whose sum is σ = 490432320. Its totient is φ = 116582400.

The previous prime is 241074619. The next prime is 241074731. The reversal of 241074656 is 656470142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132956 + ... + 134756.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2241074656 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 241074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).

241074656 is an abundant number, since it is smaller than the sum of its proper divisors (249357664).

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

241074656 is a wasteful number, since it uses less digits than its factorization.

241074656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 241074656 is about 15526.5790179292. The cubic root of 241074656 is about 622.3726774110.

The spelling of 241074656 in words is "two hundred forty-one million, seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 89 94 178 188 356 376 712 752 1424 1504 1801 2848 3602 4183 7204 8366 14408 16732 28816 33464 57632 66928 84647 133856 160289 169294 320578 338588 641156 677176 1282312 1354352 2564624 2708704 5129248 7533583 15067166 30134332 60268664 120537328 241074656