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242883800528 = 24176119337573
BaseRepresentation
bin1110001000110100000…
…0001010110111010000
3212012220222201110121212
43202031000022313100
512434411223104103
6303325042435252
723355613145345
oct3421500126720
9765828643555
10242883800528
1194008634266
123b0a5362b28
1319b9998cb85
14ba816887cc
1564b81ea7d8
hex388d00add0

242883800528 has 80 divisors (see below), whose sum is σ = 506766221136. Its totient is φ = 112351518720.

The previous prime is 242883800513. The next prime is 242883800531. The reversal of 242883800528 is 825008388242.

It can be written as a sum of positive squares in 8 ways, for example, as 22310799424 + 220573001104 = 149368^2 + 469652^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32068550 + ... + 32076122.

Almost surely, 2242883800528 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 242883800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253383110568).

242883800528 is an abundant number, since it is smaller than the sum of its proper divisors (263882420608).

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

242883800528 is a wasteful number, since it uses less digits than its factorization.

242883800528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9586 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 50.

The spelling of 242883800528 in words is "two hundred forty-two billion, eight hundred eighty-three million, eight hundred thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 1933 2074 3866 4148 7573 7732 8296 15146 15464 16592 30292 30928 32861 60584 65722 117913 121168 128741 131444 235826 257482 262888 461953 471652 514964 525776 923906 943304 1029928 1847812 1886608 2004521 2059856 3695624 4009042 7391248 7853201 8018084 14638609 15706402 16036168 29277218 31412804 32072336 58554436 62825608 117108872 125651216 234217744 248856353 497712706 892955149 995425412 1785910298 1990850824 3571820596 3981701648 7143641192 14287282384 15180237533 30360475066 60720950132 121441900264 242883800528