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5377344 = 26374001
BaseRepresentation
bin10100100000110101000000
3101010012022220
4110200311000
52334033334
6311131040
763464250
oct24406500
911105286
105377344
113043095
121973a80
13116377b
149dd960
15713449
hex520d40

5377344 has 56 divisors (see below), whose sum is σ = 16264128. Its totient is φ = 1536000.

The previous prime is 5377343. The next prime is 5377357. The reversal of 5377344 is 4437735.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 3344.

Almost surely, 25377344 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 5377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132064).

5377344 is an abundant number, since it is smaller than the sum of its proper divisors (10886784).

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

5377344 is a wasteful number, since it uses less digits than its factorization.

5377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4013 counting only the distinct ones).

The product of its digits is 35280, while the sum is 33.

The square root of 5377344 is about 2318.9100888133. The cubic root of 5377344 is about 175.1953627763.

The spelling of 5377344 in words is "five million, three hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 4001 8002 12003 16004 24006 28007 32008 48012 56014 64016 84021 96024 112028 128032 168042 192048 224056 256064 336084 384096 448112 672168 768192 896224 1344336 1792448 2688672 5377344