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1352928 = 25317829
BaseRepresentation
bin101001010010011100000
32112201212110
411022103200
5321243203
644555320
714333253
oct5122340
92481773
101352928
11844525
12552b40
13384a65
1427309a
151bad03
hex14a4e0

1352928 has 48 divisors (see below), whose sum is σ = 3764880. Its totient is φ = 423936.

The previous prime is 1352921. The next prime is 1352957. The reversal of 1352928 is 8292531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1352895 and 1352904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352921) 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, 1218 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (78435).

21352928 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 1352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882440).

1352928 is an abundant number, since it is smaller than the sum of its proper divisors (2411952).

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

1352928 is a wasteful number, since it uses less digits than its factorization.

1352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1352928 is about 1163.1543319783. The cubic root of 1352928 is about 110.6007898120.

The spelling of 1352928 in words is "one million, three hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 829 1632 1658 2487 3316 4974 6632 9948 13264 14093 19896 26528 28186 39792 42279 56372 79584 84558 112744 169116 225488 338232 450976 676464 1352928