Search a number
-
+
7934148 = 2232613613
BaseRepresentation
bin11110010001000011000100
3112221002121100
4132101003010
54012343043
6442020100
7124303425
oct36210304
915832540
107934148
11452a052
1227a7630
13184a481
1410a764c
15a6acd3
hex7910c4

7934148 has 36 divisors (see below), whose sum is σ = 20390188. Its totient is φ = 2600640.

The previous prime is 7934141. The next prime is 7934159. The reversal of 7934148 is 8414397.

It is a happy number.

7934148 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 7851204 = 288^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 78 + 92 + 38 + 42 + 1 + 48 + 87 .

It is not an unprimeable number, because it can be changed into a prime (7934141) 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, 390 + ... + 4002.

Almost surely, 27934148 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 7934148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195094).

7934148 is an abundant number, since it is smaller than the sum of its proper divisors (12456040).

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

7934148 is a wasteful number, since it uses less digits than its factorization.

7934148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3679 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7934148 is about 2816.7619707742. The cubic root of 7934148 is about 199.4497206853.

Subtracting 7934148 from its reverse (8414397), we obtain a square (480249 = 6932).

The spelling of 7934148 in words is "seven million, nine hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3613 7226 10839 14452 21678 32517 43356 65034 130068 220393 440786 661179 881572 1322358 1983537 2644716 3967074 7934148