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38283232 = 251327079
BaseRepresentation
bin1001001000001…
…0011111100000
32200000222201111
42102002133200
534300030412
63444313104
7643254631
oct222023740
980028644
1038283232
111a678839
12109a2794
137c15300
145127888
1535632a7
hex24827e0

38283232 has 36 divisors (see below), whose sum is σ = 81625320. Its totient is φ = 17666688.

The previous prime is 38283229. The next prime is 38283253. The reversal of 38283232 is 23238283.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38283194 and 38283203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1869 + ... + 8947.

It is an arithmetic number, because the mean of its divisors is an integer number (2267370).

Almost surely, 238283232 is an apocalyptic number.

38283232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40812660).

38283232 is an abundant number, since it is smaller than the sum of its proper divisors (43342088).

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

38283232 is a wasteful number, since it uses less digits than its factorization.

38283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7094 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 38283232 is about 6187.3445030966. The cubic root of 38283232 is about 337.0307538259.

The spelling of 38283232 in words is "thirty-eight million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 7079 14158 28316 56632 92027 113264 184054 226528 368108 736216 1196351 1472432 2392702 2944864 4785404 9570808 19141616 38283232