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242607232 = 277247823
BaseRepresentation
bin11100111010111…
…10010010000000
3121220111201120001
432131132102000
5444101412412
640023525344
76004061500
oct1635362200
9556451501
10242607232
11114a4444a
12692b9854
133b35479a
1424313a00
1516473957
hexe75e480

242607232 has 96 divisors (see below), whose sum is σ = 574888320. Its totient is φ = 101638656.

The previous prime is 242607217. The next prime is 242607259. The reversal of 242607232 is 232706242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 242607232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294373 + ... + 295195.

It is an arithmetic number, because the mean of its divisors is an integer number (5988420).

Almost surely, 2242607232 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 242607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287444160).

242607232 is an abundant number, since it is smaller than the sum of its proper divisors (332281088).

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

242607232 is an equidigital number, since it uses as much as digits as its factorization.

242607232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 242607232 is about 15575.8541338830. The cubic root of 242607232 is about 623.6887555848.

The spelling of 242607232 in words is "two hundred forty-two million, six hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 329 376 392 448 658 752 784 823 896 1316 1504 1568 1646 2303 2632 3008 3136 3292 4606 5264 5761 6016 6272 6584 9212 10528 11522 13168 18424 21056 23044 26336 36848 38681 40327 42112 46088 52672 73696 77362 80654 92176 105344 147392 154724 161308 184352 270767 294784 309448 322616 368704 541534 618896 645232 737408 1083068 1237792 1290464 1895369 2166136 2475584 2580928 3790738 4332272 4951168 5161856 7581476 8664544 15162952 17329088 30325904 34658176 60651808 121303616 242607232