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242577828 = 22341744041
BaseRepresentation
bin11100111010101…
…11000110100100
3121220110020020000
432131113012210
5444044442303
640023141300
76003606663
oct1635270644
9556406200
10242577828
11114a24349
12692a4830
133b34429c
1424306dda
1516469da3
hexe7571a4

242577828 has 60 divisors (see below), whose sum is σ = 671464332. Its totient is φ = 76101120.

The previous prime is 242577799. The next prime is 242577833. The reversal of 242577828 is 828775242.

It can be written as a sum of positive squares in 2 ways, for example, as 162868644 + 79709184 = 12762^2 + 8928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16513 + ... + 27528.

Almost surely, 2242577828 is an apocalyptic number.

It is an amenable number.

242577828 is an abundant number, since it is smaller than the sum of its proper divisors (428886504).

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

242577828 is a wasteful number, since it uses less digits than its factorization.

242577828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44074 (or 44063 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 242577828 is about 15574.9102084089. The cubic root of 242577828 is about 623.6635575380.

The spelling of 242577828 in words is "two hundred forty-two million, five hundred seventy-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 44041 88082 132123 176164 264246 396369 528492 748697 792738 1189107 1497394 1585476 2246091 2378214 2994788 3567321 4492182 4756428 6738273 7134642 8984364 13476546 14269284 20214819 26953092 40429638 60644457 80859276 121288914 242577828