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242451104 = 2577314827
BaseRepresentation
bin11100111001110…
…00001010100000
3121220012210101112
432130320022200
5444031413404
640020322452
76002541350
oct1634701240
9556183345
10242451104
11114948115
1269243428
133b2cb6bc
14242b2b60
151644256e
hexe7382a0

242451104 has 48 divisors (see below), whose sum is σ = 553025088. Its totient is φ = 102477312.

The previous prime is 242451103. The next prime is 242451109. The reversal of 242451104 is 401154242.

It is a self number, because there is not a number n which added to its sum of digits gives 242451104.

It is not an unprimeable number, because it can be changed into a prime (242451103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8939 + ... + 23765.

It is an arithmetic number, because the mean of its divisors is an integer number (11521356).

Almost surely, 2242451104 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 242451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276512544).

242451104 is an abundant number, since it is smaller than the sum of its proper divisors (310573984).

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

242451104 is a wasteful number, since it uses less digits than its factorization.

242451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14917 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 242451104 is about 15570.8414673068. The cubic root of 242451104 is about 623.5549368564.

The spelling of 242451104 in words is "two hundred forty-two million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 14827 16352 29654 59308 103789 118616 207578 237232 415156 474464 830312 1082371 1660624 2164742 3321248 4329484 7576597 8658968 15153194 17317936 30306388 34635872 60612776 121225552 242451104