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242077696 = 21278443
BaseRepresentation
bin11100110110111…
…01000000000000
3121212111211011121
432123131000000
5443432441241
640004322024
75666424610
oct1633350000
9555454147
10242077696
11114712613
12690a3314
133b1ca753
1424216a40
15163bbad1
hexe6dd000

242077696 has 52 divisors (see below), whose sum is σ = 553318432. Its totient is φ = 103735296.

The previous prime is 242077687. The next prime is 242077697. The reversal of 242077696 is 696770242.

It is a super-2 number, since 2×2420776962 = 117203221801336832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242077697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24451 + ... + 32893.

Almost surely, 2242077696 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 242077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276659216).

242077696 is an abundant number, since it is smaller than the sum of its proper divisors (311240736).

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

242077696 is an frugal number, since it uses more digits than its factorization.

242077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The square root of 242077696 is about 15558.8462297177. The cubic root of 242077696 is about 623.2346522907.

The spelling of 242077696 in words is "two hundred forty-two million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8443 14336 16886 28672 33772 59101 67544 118202 135088 236404 270176 472808 540352 945616 1080704 1891232 2161408 3782464 4322816 7564928 8645632 15129856 17291264 30259712 34582528 60519424 121038848 242077696