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42220296 = 2332619613
BaseRepresentation
bin1010000100001…
…1101100001000
32221110000100200
42201003230020
541302022141
64104532200
71021603146
oct241035410
987400320
1042220296
1121917808
1212181060
138993331
145870596
153a8eab6
hex2843b08

42220296 has 48 divisors (see below), whose sum is σ = 116233260. Its totient is φ = 13841280.

The previous prime is 42220291. The next prime is 42220309. The reversal of 42220296 is 69202224.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 152100 = 6486^2 + 390^2 .

It is not an unprimeable number, because it can be changed into a prime (42220291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415 + ... + 9198.

Almost surely, 242220296 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 42220296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58116630).

42220296 is an abundant number, since it is smaller than the sum of its proper divisors (74012964).

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

42220296 is a wasteful number, since it uses less digits than its factorization.

42220296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42220296 is about 6497.7146751762. The cubic root of 42220296 is about 348.2093468874.

The spelling of 42220296 in words is "forty-two million, two hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 9613 19226 28839 38452 57678 76904 86517 115356 173034 230712 346068 586393 692136 1172786 1759179 2345572 3518358 4691144 5277537 7036716 10555074 14073432 21110148 42220296