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242576896 = 29716673
BaseRepresentation
bin11100111010101…
…10111000000000
3121220110011221111
432131112320000
5444044430041
640023133104
76003604162
oct1635267000
9556404844
10242576896
11114a23681
12692a4194
133b343a33
1424306932
1516469981
hexe756e00

242576896 has 40 divisors (see below), whose sum is σ = 491580144. Its totient is φ = 119562240.

The previous prime is 242576881. The next prime is 242576911. The reversal of 242576896 is 698675242.

It is an interprime number because it is at equal distance from previous prime (242576881) and next prime (242576911).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 33016 + ... + 39688.

Almost surely, 2242576896 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 242576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790072).

242576896 is an abundant number, since it is smaller than the sum of its proper divisors (249003248).

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

242576896 is an frugal number, since it uses more digits than its factorization.

242576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6746 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 242576896 is about 15574.8802884645. The cubic root of 242576896 is about 623.6627588182.

The spelling of 242576896 in words is "two hundred forty-two million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1136 2272 4544 6673 9088 13346 18176 26692 36352 53384 106768 213536 427072 473783 854144 947566 1708288 1895132 3416576 3790264 7580528 15161056 30322112 60644224 121288448 242576896