Search a number
-
+
3916864 = 26721249
BaseRepresentation
bin1110111100010001000000
321100222221001
432330101000
52000314424
6215541344
745202300
oct16742100
97328831
103916864
112235886
12138a854
13a71a93
1473d600
15525844
hex3bc440

3916864 has 42 divisors (see below), whose sum is σ = 9048750. Its totient is φ = 1677312.

The previous prime is 3916849. The next prime is 3916879. The reversal of 3916864 is 4686193.

It is an interprime number because it is at equal distance from previous prime (3916849) and next prime (3916879).

It can be written as a sum of positive squares in only one way, i.e., 3211264 + 705600 = 1792^2 + 840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2512 + ... + 3760.

Almost surely, 23916864 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 3916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524375).

3916864 is an abundant number, since it is smaller than the sum of its proper divisors (5131886).

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

3916864 is a wasteful number, since it uses less digits than its factorization.

3916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 3916864 is about 1979.1068692721. The cubic root of 3916864 is about 157.6326454572.

The spelling of 3916864 in words is "three million, nine hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1249 1568 2498 3136 4996 8743 9992 17486 19984 34972 39968 61201 69944 79936 122402 139888 244804 279776 489608 559552 979216 1958432 3916864