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5393440 = 255132593
BaseRepresentation
bin10100100100110000100000
3101011000102001
4110210300200
52340042230
6311333344
763562213
oct24446040
911130361
105393440
113054198
121981254
13116abb0
14a0577a
157180ca
hex524c20

5393440 has 48 divisors (see below), whose sum is σ = 13727448. Its totient is φ = 1990656.

The previous prime is 5393419. The next prime is 5393441. The reversal of 5393440 is 443935.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 1752976 = 1908^2 + 1324^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5393399 and 5393408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5393441) 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, 784 + ... + 3376.

Almost surely, 25393440 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 5393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863724).

5393440 is an abundant number, since it is smaller than the sum of its proper divisors (8334008).

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

5393440 is a wasteful number, since it uses less digits than its factorization.

5393440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 5393440 is about 2322.3780915260. The cubic root of 5393440 is about 175.3699927040.

The spelling of 5393440 in words is "five million, three hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2593 5186 10372 12965 20744 25930 33709 41488 51860 67418 82976 103720 134836 168545 207440 269672 337090 414880 539344 674180 1078688 1348360 2696720 5393440