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242576213 = 111729411091
BaseRepresentation
bin11100111010101…
…10101101010101
3121220110011000012
432131112231111
5444044414323
640023130005
76003602165
oct1635265525
9556404005
10242576213
11114a23110
12692a3905
133b343629
14243065a5
1516469678
hexe756b55

242576213 has 32 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 195328000.

The previous prime is 242576203. The next prime is 242576231. The reversal of 242576213 is 312675242.

It is a cyclic number.

It is not a de Polignac number, because 242576213 - 24 = 242576197 is a prime.

It is a super-2 number, since 2×2425762132 = 117686438226842738, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242576213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242576203) 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 31 ways as a sum of consecutive naturals, for example, 221798 + ... + 222888.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2242576213 is an apocalyptic number.

It is an amenable number.

242576213 is a deficient number, since it is larger than the sum of its proper divisors (54622507).

242576213 is a wasteful number, since it uses less digits than its factorization.

242576213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189.

The product of its digits is 20160, while the sum is 32.

The square root of 242576213 is about 15574.8583621168. The cubic root of 242576213 is about 623.6621734889.

The spelling of 242576213 in words is "two hundred forty-two million, five hundred seventy-six thousand, two hundred thirteen".

Divisors: 1 11 17 29 41 187 319 451 493 697 1091 1189 5423 7667 12001 13079 18547 20213 31639 44731 204017 222343 348029 492041 537863 760427 1297199 5916493 8364697 14269189 22052383 242576213