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38233132 = 2272972011
BaseRepresentation
bin1001000111011…
…0010000101100
32122221102222221
42101312100230
534241430012
63443245124
7642655600
oct221662054
978842887
1038233132
111a644133
12109797a4
137bc8572
145113500
153553507
hex247642c

38233132 has 36 divisors (see below), whose sum is σ = 78673224. Its totient is φ = 16208640.

The previous prime is 38233123. The next prime is 38233159. The reversal of 38233132 is 23133283.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38233097 and 38233106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18007 + ... + 20017.

Almost surely, 238233132 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 38233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39336612).

38233132 is an abundant number, since it is smaller than the sum of its proper divisors (40440092).

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

38233132 is a wasteful number, since it uses less digits than its factorization.

38233132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2117 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 38233132 is about 6183.2945910736. The cubic root of 38233132 is about 336.8836693108.

The spelling of 38233132 in words is "thirty-eight million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2011 2716 4022 4753 8044 9506 14077 19012 28154 56308 98539 195067 197078 390134 394156 780268 1365469 2730938 5461876 9558283 19116566 38233132