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5732496 = 2432711247
BaseRepresentation
bin10101110111100010010000
3101210020111200
4111313202100
52431414441
6322511200
766503550
oct25674220
911706450
105732496
113265a00
121b05500
131259313
14a93160
157837b6
hex577890

5732496 has 180 divisors, whose sum is σ = 20582016. Its totient is φ = 1457280.

The previous prime is 5732479. The next prime is 5732501. The reversal of 5732496 is 6942375.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 59 + 73 + 37 + 221 + 43 + 9 + 68 .

Its product of digits (45360) is a multiple of the sum of its prime divisors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 5732496.

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 35 ways as a sum of consecutive naturals, for example, 121945 + ... + 121991.

Almost surely, 25732496 is an apocalyptic number.

5732496 is a gapful number since it is divisible by the number (56) 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 5732496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291008).

5732496 is an abundant number, since it is smaller than the sum of its proper divisors (14849520).

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

5732496 is a wasteful number, since it uses less digits than its factorization.

5732496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

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

The square root of 5732496 is about 2394.2631434327. The cubic root of 5732496 is about 178.9704184234.

The spelling of 5732496 in words is "five million, seven hundred thirty-two thousand, four hundred ninety-six".