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242552856 = 23371328543
BaseRepresentation
bin11100111010100…
…01000000011000
3121220101221222010
432131101000120
5444043142411
640022425520
76003444120
oct1635210030
9556357863
10242552856
11114a07607
12692922a0
133b335b00
14242dbc80
15164627a6
hexe751018

242552856 has 96 divisors (see below), whose sum is σ = 750504960. Its totient is φ = 63962496.

The previous prime is 242552837. The next prime is 242552861. The reversal of 242552856 is 658255242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24121 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (7817760).

Almost surely, 2242552856 is an apocalyptic number.

242552856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242552856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375252480).

242552856 is an abundant number, since it is smaller than the sum of its proper divisors (507952104).

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

242552856 is a wasteful number, since it uses less digits than its factorization.

242552856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8568 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 242552856 is about 15574.1085138123. The cubic root of 242552856 is about 623.6421559382.

The spelling of 242552856 in words is "two hundred forty-two million, five hundred fifty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 2028 2184 2366 3549 4056 4732 7098 8543 9464 14196 17086 25629 28392 34172 51258 59801 68344 102516 111059 119602 179403 205032 222118 239204 333177 358806 444236 478408 666354 717612 777413 888472 1332708 1435224 1443767 1554826 2332239 2665416 2887534 3109652 4331301 4664478 5775068 6219304 8662602 9328956 10106369 11550136 17325204 18657912 20212738 30319107 34650408 40425476 60638214 80850952 121276428 242552856