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242177792 = 287312959
BaseRepresentation
bin11100110111101…
…01011100000000
3121212200220110212
432123311130000
5443444142132
640010413252
76000322463
oct1633653400
9555626425
10242177792
1111478083a
1269131228
133b23418c
14242412da
15163db5b2
hexe6f5700

242177792 has 36 divisors (see below), whose sum is σ = 490069440. Its totient is φ = 119420928.

The previous prime is 242177773. The next prime is 242177809. The reversal of 242177792 is 297771242.

242177792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12209 + ... + 25167.

It is an arithmetic number, because the mean of its divisors is an integer number (13613040).

Almost surely, 2242177792 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 242177792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245034720).

242177792 is an abundant number, since it is smaller than the sum of its proper divisors (247891648).

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

242177792 is an equidigital number, since it uses as much as digits as its factorization.

242177792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13034 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 242177792 is about 15562.0625882304. The cubic root of 242177792 is about 623.3205402797.

The spelling of 242177792 in words is "two hundred forty-two million, one hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 12959 18688 25918 51836 103672 207344 414688 829376 946007 1658752 1892014 3317504 3784028 7568056 15136112 30272224 60544448 121088896 242177792