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7388641 = 133715361
BaseRepresentation
bin11100001011110111100001
3111220101022101
4130023313201
53342414031
6422210401
7116542141
oct34136741
914811271
107388641
114197217
122583a01
1316b90a0
14da4921
159ae361
hex70bde1

7388641 has 8 divisors (see below), whose sum is σ = 8172584. Its totient is φ = 6635520.

The previous prime is 7388639. The next prime is 7388653. The reversal of 7388641 is 1468837.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2117025 + 5271616 = 1455^2 + 2296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(7388641) divides (7388641-1)3.

It is a cyclic number.

It is not a de Polignac number, because 7388641 - 21 = 7388639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7388641.

It is not an unprimeable number, because it can be changed into a prime (7388621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7200 + ... + 8161.

It is an arithmetic number, because the mean of its divisors is an integer number (1021573).

Almost surely, 27388641 is an apocalyptic number.

It is an amenable number.

7388641 is a deficient number, since it is larger than the sum of its proper divisors (783943).

7388641 is a wasteful number, since it uses less digits than its factorization.

7388641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411.

The product of its digits is 32256, while the sum is 37.

The square root of 7388641 is about 2718.2054742054. The cubic root of 7388641 is about 194.7697567408.

The spelling of 7388641 in words is "seven million, three hundred eighty-eight thousand, six hundred forty-one".

Divisors: 1 13 37 481 15361 199693 568357 7388641