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242906552 = 23729373401
BaseRepresentation
bin11100111101001…
…11010110111000
3121221001221010222
432132213112320
5444141002202
640034155212
76006446240
oct1636472670
9557057128
10242906552
11115129319
1269422b08
133b42aab5
1424390b20
15164d24a2
hexe7a75b8

242906552 has 64 divisors (see below), whose sum is σ = 541252800. Its totient is φ = 99993600.

The previous prime is 242906501. The next prime is 242906569. The reversal of 242906552 is 255609242.

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 15 ways as a sum of consecutive naturals, for example, 605552 + ... + 605952.

It is an arithmetic number, because the mean of its divisors is an integer number (8457075).

Almost surely, 2242906552 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 242906552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270626400).

242906552 is an abundant number, since it is smaller than the sum of its proper divisors (298346248).

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

242906552 is a wasteful number, since it uses less digits than its factorization.

242906552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 242906552 is about 15585.4596339024. The cubic root of 242906552 is about 623.9451450245.

The spelling of 242906552 in words is "two hundred forty-two million, nine hundred six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 373 401 406 746 802 812 1492 1604 1624 2611 2807 2984 3208 5222 5614 10444 10817 11228 11629 20888 21634 22456 23258 43268 46516 75719 81403 86536 93032 149573 151438 162806 299146 302876 325612 598292 605752 651224 1047011 1196584 2094022 4188044 4337617 8376088 8675234 17350468 30363319 34700936 60726638 121453276 242906552