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242612656 = 241113107991
BaseRepresentation
bin11100111010111…
…11100110110000
3121220111222222221
432131133212300
5444102101111
640024010424
76004113346
oct1635374660
9556458887
10242612656
11114a48530
1269300a14
133b3570b0
1424315996
1516475371
hexe75f9b0

242612656 has 80 divisors (see below), whose sum is σ = 557964288. Its totient is φ = 100742400.

The previous prime is 242612651. The next prime is 242612659. The reversal of 242612656 is 656216242.

It is not an unprimeable number, because it can be changed into a prime (242612651) by changing a digit.

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, 244321 + ... + 245311.

Almost surely, 2242612656 is an apocalyptic number.

242612656 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 242612656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278982144).

242612656 is an abundant number, since it is smaller than the sum of its proper divisors (315351632).

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

242612656 is a wasteful number, since it uses less digits than its factorization.

242612656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 242612656 is about 15576.0282485620. The cubic root of 242612656 is about 623.6934035124.

Adding to 242612656 its reverse (656216242), we get a palindrome (898828898).

The spelling of 242612656 in words is "two hundred forty-two million, six hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 107 143 176 208 214 286 428 572 856 991 1144 1177 1391 1712 1982 2288 2354 2782 3964 4708 5564 7928 9416 10901 11128 12883 15301 15856 18832 21802 22256 25766 30602 43604 51532 61204 87208 103064 106037 122408 141713 174416 206128 212074 244816 283426 424148 566852 848296 1133704 1166407 1378481 1696592 2267408 2332814 2756962 4665628 5513924 9331256 11027848 15163291 18662512 22055696 30326582 60653164 121306328 242612656