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38400232 = 2313616053
BaseRepresentation
bin1001001001111…
…1000011101000
32200020221012211
42102133003220
534312301412
63451014504
7644253013
oct222370350
980227184
1038400232
111a748732
1210a3a434
137c56640
14515837a
153587ca7
hex249f0e8

38400232 has 32 divisors (see below), whose sum is σ = 78823080. Its totient is φ = 17429760.

The previous prime is 38400223. The next prime is 38400251. The reversal of 38400232 is 23200483.

It can be written as a sum of positive squares in 4 ways, for example, as 6522916 + 31877316 = 2554^2 + 5646^2 .

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, 3318 + ... + 9370.

Almost surely, 238400232 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 38400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39411540).

38400232 is an abundant number, since it is smaller than the sum of its proper divisors (40422848).

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

38400232 is a wasteful number, since it uses less digits than its factorization.

38400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 38400232 is about 6196.7920733231. The cubic root of 38400232 is about 337.3737455512.

The spelling of 38400232 in words is "thirty-eight million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6053 6344 12106 24212 48424 78689 157378 314756 369233 629512 738466 1476932 2953864 4800029 9600058 19200116 38400232