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5413376 = 2997109
BaseRepresentation
bin10100101001101000000000
3101012000202102
4110221220000
52341212001
6312005532
764004303
oct24515000
911160672
105413376
113068171
1219908a8
131176ca7
14a0cb3a
1571de6b
hex529a00

5413376 has 40 divisors (see below), whose sum is σ = 11027940. Its totient is φ = 2654208.

The previous prime is 5413357. The next prime is 5413379. The reversal of 5413376 is 6733145.

It can be written as a sum of positive squares in 2 ways, for example, as 5382400 + 30976 = 2320^2 + 176^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5413379) 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 3 ways as a sum of consecutive naturals, for example, 49610 + ... + 49718.

Almost surely, 25413376 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 5413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513970).

5413376 is an abundant number, since it is smaller than the sum of its proper divisors (5614564).

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

5413376 is an equidigital number, since it uses as much as digits as its factorization.

5413376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 5413376 is about 2326.6662846227. Note that the first 3 decimals coincide. The cubic root of 5413376 is about 175.5858028556.

The spelling of 5413376 in words is "five million, four hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 109 128 194 218 256 388 436 512 776 872 1552 1744 3104 3488 6208 6976 10573 12416 13952 21146 24832 27904 42292 49664 55808 84584 169168 338336 676672 1353344 2706688 5413376