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5492736 = 21232149
BaseRepresentation
bin10100111101000000000000
3101100001121200
4110331000000
52401231421
6313421200
764454544
oct24750000
911301550
105492736
113111857
121a0a800
1311a4152
14a2da24
15737726
hex53d000

5492736 has 78 divisors (see below), whose sum is σ = 15972450. Its totient is φ = 1818624.

The previous prime is 5492731. The next prime is 5492737. The reversal of 5492736 is 6372945.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 1806336 = 1920^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 53 + 49 + 97 + 217 + 75 + 39 + 67 .

It is a self number, because there is not a number n which added to its sum of digits gives 5492736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5492731) 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 5 ways as a sum of consecutive naturals, for example, 36790 + ... + 36938.

It is an arithmetic number, because the mean of its divisors is an integer number (204775).

Almost surely, 25492736 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 5492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986225).

5492736 is an abundant number, since it is smaller than the sum of its proper divisors (10479714).

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

5492736 is a wasteful number, since it uses less digits than its factorization.

5492736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5492736 is about 2343.6586782209. The cubic root of 5492736 is about 176.4396720743.

The spelling of 5492736 in words is "five million, four hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 512 576 596 768 894 1024 1152 1192 1341 1536 1788 2048 2304 2384 2682 3072 3576 4096 4608 4768 5364 6144 7152 9216 9536 10728 12288 14304 18432 19072 21456 28608 36864 38144 42912 57216 76288 85824 114432 152576 171648 228864 305152 343296 457728 610304 686592 915456 1373184 1830912 2746368 5492736