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242612004 = 223235471607
BaseRepresentation
bin11100111010111…
…11011100100100
3121220111222002210
432131133130210
5444102041004
640024003420
76004111425
oct1635373444
9556458083
10242612004
11114a47a98
1269300570
133b3569cb
142431564c
1516475089
hexe75f724

242612004 has 48 divisors (see below), whose sum is σ = 592155648. Its totient is φ = 77165088.

The previous prime is 242611973. The next prime is 242612009. The reversal of 242612004 is 400216242.

It is not an unprimeable number, because it can be changed into a prime (242612009) 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, 150169 + ... + 151775.

It is an arithmetic number, because the mean of its divisors is an integer number (12336576).

Almost surely, 2242612004 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 242612004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296077824).

242612004 is an abundant number, since it is smaller than the sum of its proper divisors (349543644).

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

242612004 is a wasteful number, since it uses less digits than its factorization.

242612004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242612004 is about 15576.0073189505. The cubic root of 242612004 is about 623.6928448050.

Adding to 242612004 its reverse (400216242), we get a palindrome (642828246).

The spelling of 242612004 in words is "two hundred forty-two million, six hundred twelve thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 547 1094 1607 1641 2188 3214 3282 4821 6428 6564 9642 12581 19284 25162 36961 37743 50324 73922 75486 110883 147844 150972 221766 443532 879029 1758058 2637087 3516116 5274174 10548348 20217667 40435334 60653001 80870668 121306002 242612004