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241216896 = 2732921661
BaseRepresentation
bin11100110000010…
…10110110000000
3121210220002101010
432120022312000
5443222420041
635534040520
75656211154
oct1630126600
9553802333
10241216896
11114184908
1268949140
133ac889bb
1424071064
151629ba16
hexe60ad80

241216896 has 64 divisors (see below), whose sum is σ = 662857200. Its totient is φ = 77629440.

The previous prime is 241216853. The next prime is 241216897. The reversal of 241216896 is 698612142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241216897) 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 7 ways as a sum of consecutive naturals, for example, 306 + ... + 21966.

Almost surely, 2241216896 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 241216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331428600).

241216896 is an abundant number, since it is smaller than the sum of its proper divisors (421640304).

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

241216896 is a wasteful number, since it uses less digits than its factorization.

241216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21707 (or 21695 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 241216896 is about 15531.1588749842. The cubic root of 241216896 is about 622.4950584276.

The spelling of 241216896 in words is "two hundred forty-one million, two hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 21661 43322 64983 86644 129966 173288 259932 346576 519864 628169 693152 1039728 1256338 1386304 1884507 2079456 2512676 2772608 3769014 4158912 5025352 7538028 8317824 10050704 15076056 20101408 30152112 40202816 60304224 80405632 120608448 241216896