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38257232 = 2413193953
BaseRepresentation
bin1001000111110…
…0001001010000
32122222200001112
42101330021100
534243212412
63443552452
7643116056
oct221741120
978880045
1038257232
111a660252
121098b728
137c06520
14511c1d6
15355a722
hex247c250

38257232 has 40 divisors (see below), whose sum is σ = 80322984. Its totient is φ = 17547264.

The previous prime is 38257231. The next prime is 38257243. The reversal of 38257232 is 23275283.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 38241856 = 124^2 + 6184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38257231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39668 + ... + 40620.

Almost surely, 238257232 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 38257232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40161492).

38257232 is an abundant number, since it is smaller than the sum of its proper divisors (42065752).

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

38257232 is a wasteful number, since it uses less digits than its factorization.

38257232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 38257232 is about 6185.2430833396. The cubic root of 38257232 is about 336.9544385687.

The spelling of 38257232 in words is "thirty-eight million, two hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 953 1544 1906 2509 3088 3812 5018 7624 10036 12389 15248 20072 24778 40144 49556 99112 183929 198224 367858 735716 1471432 2391077 2942864 4782154 9564308 19128616 38257232