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241028992 = 2717257431
BaseRepresentation
bin11100101110111…
…00111110000000
3121210112112121201
432113130332000
5443200411432
635530030544
75654466301
oct1627347600
9553475551
10241028992
11114066716
1268878454
133ac21309
14240227a8
1516260ee7
hexe5dcf80

241028992 has 64 divisors (see below), whose sum is σ = 511583040. Its totient is φ = 112721920.

The previous prime is 241028987. The next prime is 241028993. The reversal of 241028992 is 299820142.

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 (241028993) 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, 559017 + ... + 559447.

It is an arithmetic number, because the mean of its divisors is an integer number (7993485).

Almost surely, 2241028992 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 241028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255791520).

241028992 is an abundant number, since it is smaller than the sum of its proper divisors (270554048).

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

241028992 is a wasteful number, since it uses less digits than its factorization.

241028992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 241028992 is about 15525.1084376245. The cubic root of 241028992 is about 622.3333786297. Note that the first 4 decimals are identical.

The spelling of 241028992 in words is "two hundred forty-one million, twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 257 272 431 514 544 862 1028 1088 1724 2056 2176 3448 4112 4369 6896 7327 8224 8738 13792 14654 16448 17476 27584 29308 32896 34952 55168 58616 69904 110767 117232 139808 221534 234464 279616 443068 468928 559232 886136 937856 1772272 1883039 3544544 3766078 7089088 7532156 14178176 15064312 30128624 60257248 120514496 241028992