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33431052 = 22323592053
BaseRepresentation
bin111111110000…
…1111000001100
32022220110210010
41333201320030
532024243202
63152313220
7554105424
oct177417014
968813703
1033431052
1117964276
12b242810
136c068b5
144623484
152e0576c
hex1fe1e0c

33431052 has 48 divisors (see below), whose sum is σ = 82817280. Its totient is φ = 10473408.

The previous prime is 33431033. The next prime is 33431087. The reversal of 33431052 is 25013433.

It is a super-2 number, since 2×334310522 = 2235270475653408, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15258 + ... + 17310.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 233431052 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 33431052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41408640).

33431052 is an abundant number, since it is smaller than the sum of its proper divisors (49386228).

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

33431052 is a wasteful number, since it uses less digits than its factorization.

33431052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 33431052 is about 5781.9591835294. The cubic root of 33431052 is about 322.1439758393.

Adding to 33431052 its reverse (25013433), we get a palindrome (58444485).

The spelling of 33431052 in words is "thirty-three million, four hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1357 2053 2714 4071 4106 5428 6159 8142 8212 12318 16284 24636 47219 94438 121127 141657 188876 242254 283314 363381 484508 566628 726762 1453524 2785921 5571842 8357763 11143684 16715526 33431052