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42232288 = 257199923
BaseRepresentation
bin1010000100011…
…0100111100000
32221110121210211
42201012213200
541302413123
64105103504
71021653130
oct241064740
987417724
1042232288
112192581a
1212187b94
138998927
145874ac0
153a9340d
hex28469e0

42232288 has 48 divisors (see below), whose sum is σ = 100033920. Its totient is φ = 17145216.

The previous prime is 42232279. The next prime is 42232327. The reversal of 42232288 is 88223224.

It is a super-2 number, since 2×422322882 = 3567132299429888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 9217.

It is an arithmetic number, because the mean of its divisors is an integer number (2084040).

Almost surely, 242232288 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 42232288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50016960).

42232288 is an abundant number, since it is smaller than the sum of its proper divisors (57801632).

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

42232288 is a wasteful number, since it uses less digits than its factorization.

42232288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9951 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 42232288 is about 6498.6373956392. The cubic root of 42232288 is about 348.2423115323.

The spelling of 42232288 in words is "forty-two million, two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 9923 19846 39692 69461 79384 138922 158768 188537 277844 317536 377074 555688 754148 1111376 1319759 1508296 2222752 2639518 3016592 5279036 6033184 10558072 21116144 42232288