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3803072 = 26713653
BaseRepresentation
bin1110100000011111000000
321011012211112
432200133000
51433144242
6213302452
744216450
oct16403700
97135745
103803072
112168339
121334a28
13a32050
1470dd60
15501c82
hex3a07c0

3803072 has 56 divisors (see below), whose sum is σ = 9302496. Its totient is φ = 1502208.

The previous prime is 3803047. The next prime is 3803077. The reversal of 3803072 is 2703083.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803077) 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, 5498 + ... + 6150.

It is an arithmetic number, because the mean of its divisors is an integer number (166116).

Almost surely, 23803072 is an apocalyptic number.

3803072 is a gapful number since it is divisible by the number (32) 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 3803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651248).

3803072 is an abundant number, since it is smaller than the sum of its proper divisors (5499424).

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

3803072 is a wasteful number, since it uses less digits than its factorization.

3803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3803072 is about 1950.1466611514. The cubic root of 3803072 is about 156.0911148634.

The spelling of 3803072 in words is "three million, eight hundred three thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 653 728 832 1306 1456 2612 2912 4571 5224 5824 8489 9142 10448 16978 18284 20896 33956 36568 41792 59423 67912 73136 118846 135824 146272 237692 271648 292544 475384 543296 950768 1901536 3803072