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42233532 = 223113110321
BaseRepresentation
bin1010000100011…
…0111010111100
32221110200111220
42201012322330
541302433112
64105113340
71021656555
oct241067274
987420456
1042233532
1121926750
1212188850
138999373
14587532c
153a9398c
hex2846ebc

42233532 has 48 divisors (see below), whose sum is σ = 110982144. Its totient is φ = 12384000.

The previous prime is 42233459. The next prime is 42233573. The reversal of 42233532 is 23533224.

42233532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069 + ... + 9252.

It is an arithmetic number, because the mean of its divisors is an integer number (2312128).

Almost surely, 242233532 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 42233532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55491072).

42233532 is an abundant number, since it is smaller than the sum of its proper divisors (68748612).

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

42233532 is a wasteful number, since it uses less digits than its factorization.

42233532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10368 counting only the distinct ones).

The product of its digits is 4320, while the sum is 24.

The square root of 42233532 is about 6498.7331073064. The cubic root of 42233532 is about 348.2457307897.

Adding to 42233532 its reverse (23533224), we get a palindrome (65766756).

The spelling of 42233532 in words is "forty-two million, two hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 10321 20642 30963 41284 61926 113531 123852 227062 319951 340593 454124 639902 681186 959853 1279804 1362372 1919706 3519461 3839412 7038922 10558383 14077844 21116766 42233532