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5381532 = 2233133833
BaseRepresentation
bin10100100001110110011100
3101010102002000
4110201312130
52334202112
6311202300
763512412
oct24416634
911112060
105381532
113046252
121976390
131165650
14a012b2
157147dc
hex521d9c

5381532 has 48 divisors (see below), whose sum is σ = 15029280. Its totient is φ = 1655424.

The previous prime is 5381521. The next prime is 5381543. The reversal of 5381532 is 2351835.

5381532 is a `hidden beast` number, since 53 + 81 + 532 = 666.

It is an interprime number because it is at equal distance from previous prime (5381521) and next prime (5381543).

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

It is a junction number, because it is equal to n+sod(n) for n = 5381496 and 5381505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (313110).

Almost surely, 25381532 is an apocalyptic number.

5381532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5381532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514640).

5381532 is an abundant number, since it is smaller than the sum of its proper divisors (9647748).

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

5381532 is a wasteful number, since it uses less digits than its factorization.

5381532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3851 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5381532 is about 2319.8129234919. The cubic root of 5381532 is about 175.2408330421.

The spelling of 5381532 in words is "five million, three hundred eighty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3833 7666 11499 15332 22998 34497 45996 49829 68994 99658 103491 137988 149487 199316 206982 298974 413964 448461 597948 896922 1345383 1793844 2690766 5381532