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33142248 = 23321727077
BaseRepresentation
bin111111001101…
…1010111101000
32022100210121200
41332123113220
531441022443
63142204200
7551463426
oct176332750
968323550
1033142248
1117787297
12b123660
136b352c9
14458a116
152d99dd3
hex1f9b5e8

33142248 has 48 divisors (see below), whose sum is σ = 95043780. Its totient is φ = 10397184.

The previous prime is 33142211. The next prime is 33142267. The reversal of 33142248 is 84224133.

It can be written as a sum of positive squares in 2 ways, for example, as 29615364 + 3526884 = 5442^2 + 1878^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12315 + ... + 14762.

Almost surely, 233142248 is an apocalyptic number.

It is an amenable number.

33142248 is an abundant number, since it is smaller than the sum of its proper divisors (61901532).

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

33142248 is a wasteful number, since it uses less digits than its factorization.

33142248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106 (or 27099 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 33142248 is about 5756.9304320966. The cubic root of 33142248 is about 321.2136464588.

The spelling of 33142248 in words is "thirty-three million, one hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 27077 54154 81231 108308 162462 216616 243693 324924 460309 487386 649848 920618 974772 1380927 1841236 1949544 2761854 3682472 4142781 5523708 8285562 11047416 16571124 33142248