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7241481 = 34132232
BaseRepresentation
bin11011100111111100001001
3111121220110000
4123213330021
53323211411
6415113213
7115360122
oct33477411
914556400
107241481
1140a66a5
122512809
131667100
14d67049
15980956
hex6e7f09

7241481 has 45 divisors (see below), whose sum is σ = 12245079. Its totient is φ = 4262544.

The previous prime is 7241471. The next prime is 7241491. The reversal of 7241481 is 1841427.

The square root of 7241481 is 2691.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (7241471) and next prime (7241491).

It can be written as a sum of positive squares in only one way, i.e., 1071225 + 6170256 = 1035^2 + 2484^2 .

It is a de Polignac number, because none of the positive numbers 2k-7241481 is a prime.

It is a super-2 number, since 2×72414812 = 104878094146722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

7241481 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7241441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 314836 + ... + 314858.

Almost surely, 27241481 is an apocalyptic number.

7241481 is the 2691-st square number.

7241481 is the 1346-th centered octagonal number.

It is an amenable number.

7241481 is a deficient number, since it is larger than the sum of its proper divisors (5003598).

7241481 is a wasteful number, since it uses less digits than its factorization.

7241481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The cubic root of 7241481 is about 193.4679954279.

The spelling of 7241481 in words is "seven million, two hundred forty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 13 23 27 39 69 81 117 169 207 299 351 507 529 621 897 1053 1521 1587 1863 2691 3887 4563 4761 6877 8073 11661 13689 14283 20631 24219 34983 42849 61893 89401 104949 185679 268203 314847 557037 804609 2413827 7241481