Search a number
-
+
3909472 = 25731563
BaseRepresentation
bin1110111010011101100000
321100121210021
432322131200
52000100342
6215443224
745141610
oct16723540
97317707
103909472
112230276
121386514
13a6b5c8
1473aa40
15523567
hex3ba760

3909472 has 48 divisors (see below), whose sum is σ = 9096192. Its totient is φ = 1618560.

The previous prime is 3909469. The next prime is 3909481. The reversal of 3909472 is 2749093.

3909472 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3909472 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6663 + ... + 7225.

It is an arithmetic number, because the mean of its divisors is an integer number (189504).

Almost surely, 23909472 is an apocalyptic number.

3909472 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 3909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548096).

3909472 is an abundant number, since it is smaller than the sum of its proper divisors (5186720).

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

3909472 is a wasteful number, since it uses less digits than its factorization.

3909472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 3909472 is about 1977.2384782823. The cubic root of 3909472 is about 157.5334203036.

The spelling of 3909472 in words is "three million, nine hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 563 868 992 1126 1736 2252 3472 3941 4504 6944 7882 9008 15764 17453 18016 31528 34906 63056 69812 122171 126112 139624 244342 279248 488684 558496 977368 1954736 3909472