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3852640 = 255112199
BaseRepresentation
bin1110101100100101100000
321020201211101
432230211200
51441241030
6214324144
744514121
oct16544540
97221741
103852640
1121a1600
121359654
13a4b78c
14724048
155117ca
hex3ac960

3852640 has 72 divisors (see below), whose sum is σ = 10054800. Its totient is φ = 1393920.

The previous prime is 3852631. The next prime is 3852643. The reversal of 3852640 is 462583.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3852599 and 3852608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19261 + ... + 19459.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 23852640 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 3852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027400).

3852640 is an abundant number, since it is smaller than the sum of its proper divisors (6202160).

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

3852640 is a wasteful number, since it uses less digits than its factorization.

3852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3852640 is about 1962.8143060412. The cubic root of 3852640 is about 156.7663366578.

It can be divided in two parts, 385 and 2640, that added together give a square (3025 = 552).

The spelling of 3852640 in words is "three million, eight hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 199 220 242 352 398 440 484 605 796 880 968 995 1210 1592 1760 1936 1990 2189 2420 3184 3872 3980 4378 4840 6368 7960 8756 9680 10945 15920 17512 19360 21890 24079 31840 35024 43780 48158 70048 87560 96316 120395 175120 192632 240790 350240 385264 481580 770528 963160 1926320 3852640