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3825432 = 2332136167
BaseRepresentation
bin1110100101111100011000
321012100111200
432211330120
51434403212
6213554200
744341602
oct16457430
97170450
103825432
112183116
121345960
13a3c290
14718172
155086dc
hex3a5f18

3825432 has 96 divisors (see below), whose sum is σ = 11509680. Its totient is φ = 1140480.

The previous prime is 3825427. The next prime is 3825439. The reversal of 3825432 is 2345283.

It is a junction number, because it is equal to n+sod(n) for n = 3825396 and 3825405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57063 + ... + 57129.

Almost surely, 23825432 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 3825432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840).

3825432 is an abundant number, since it is smaller than the sum of its proper divisors (7684248).

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

3825432 is a wasteful number, since it uses less digits than its factorization.

3825432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3825432 is about 1955.8711614010. The cubic root of 3825432 is about 156.3964276411.

The spelling of 3825432 in words is "three million, eight hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 67 72 78 104 117 122 134 156 183 201 234 244 268 312 366 402 468 488 536 549 603 732 793 804 871 936 1098 1206 1464 1586 1608 1742 2196 2379 2412 2613 3172 3484 4087 4392 4758 4824 5226 6344 6968 7137 7839 8174 9516 10452 12261 14274 15678 16348 19032 20904 24522 28548 31356 32696 36783 49044 53131 57096 62712 73566 98088 106262 147132 159393 212524 294264 318786 425048 478179 637572 956358 1275144 1912716 3825432