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1928232 = 233379113
BaseRepresentation
bin111010110110000101000
310121222001000
413112300220
5443200412
6105155000
722250445
oct7266050
93558030
101928232
1110a7789
1278ba60
13526887
143829cc
152814dc
hex1d6c28

1928232 has 64 divisors (see below), whose sum is σ = 5472000. Its totient is φ = 628992.

The previous prime is 1928219. The next prime is 1928237. The reversal of 1928232 is 2328291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1928196 and 1928205.

It is not an unprimeable number, because it can be changed into a prime (1928237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17008 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (85500).

21928232 is an apocalyptic number.

1928232 is a gapful number since it is divisible by the number (12) 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 1928232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736000).

1928232 is an abundant number, since it is smaller than the sum of its proper divisors (3543768).

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

1928232 is a wasteful number, since it uses less digits than its factorization.

1928232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1928232 is about 1388.6079360280. The cubic root of 1928232 is about 124.4666771030.

The spelling of 1928232 in words is "one million, nine hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 113 158 216 226 237 316 339 452 474 632 678 711 904 948 1017 1356 1422 1896 2034 2133 2712 2844 3051 4068 4266 5688 6102 8136 8532 8927 12204 17064 17854 24408 26781 35708 53562 71416 80343 107124 160686 214248 241029 321372 482058 642744 964116 1928232