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3892480 = 2853041
BaseRepresentation
bin1110110110010100000000
321022202110221
432312110000
51444024410
6215232424
745041224
oct16662400
97282427
103892480
112219529
121378714
13a63957
14734784
1551d4da
hex3b6500

3892480 has 36 divisors (see below), whose sum is σ = 9326772. Its totient is φ = 1556480.

The previous prime is 3892477. The next prime is 3892481. The reversal of 3892480 is 842983.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 1016064 = 1696^2 + 1008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 2800.

It is an arithmetic number, because the mean of its divisors is an integer number (259077).

Almost surely, 23892480 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 3892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663386).

3892480 is an abundant number, since it is smaller than the sum of its proper divisors (5434292).

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

3892480 is an equidigital number, since it uses as much as digits as its factorization.

3892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3892480 is about 1972.9368971156. The cubic root of 3892480 is about 157.3048561566.

The spelling of 3892480 in words is "three million, eight hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 3041 6082 12164 15205 24328 30410 48656 60820 97312 121640 194624 243280 389248 486560 778496 973120 1946240 3892480