Search a number
-
+
3992416 = 251741179
BaseRepresentation
bin1111001110101101100000
321111211120021
433032231200
52010224131
6221323224
745635461
oct17165540
97454507
103992416
11228761a
121406514
13a9a29c
1475cd68
1553ce11
hex3ceb60

3992416 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1822720.

The previous prime is 3992407. The next prime is 3992419. The reversal of 3992416 is 6142993.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992419) 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, 22215 + ... + 22393.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 23992416 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 3992416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3992416 is an abundant number, since it is smaller than the sum of its proper divisors (4580624).

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

3992416 is a wasteful number, since it uses less digits than its factorization.

3992416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 3992416 is about 1998.1031004430. The cubic root of 3992416 is about 158.6397179789.

The spelling of 3992416 in words is "three million, nine hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 179 272 328 358 544 656 697 716 1312 1394 1432 2788 2864 3043 5576 5728 6086 7339 11152 12172 14678 22304 24344 29356 48688 58712 97376 117424 124763 234848 249526 499052 998104 1996208 3992416