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5692752 = 2432133041
BaseRepresentation
bin10101101101110101010000
3101201012222200
4111231311100
52424132002
6322003200
766246642
oct25556520
911635880
105692752
11323905a
121aa6500
1312441c0
14a82892
15776b1c
hex56dd50

5692752 has 60 divisors (see below), whose sum is σ = 17162964. Its totient is φ = 1751040.

The previous prime is 5692751. The next prime is 5692763. The reversal of 5692752 is 2572965.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 2143296 = 1884^2 + 1464^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5692751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 3392.

Almost surely, 25692752 is an apocalyptic number.

5692752 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 5692752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581482).

5692752 is an abundant number, since it is smaller than the sum of its proper divisors (11470212).

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

5692752 is a wasteful number, since it uses less digits than its factorization.

5692752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5692752 is about 2385.9488678511. The cubic root of 5692752 is about 178.5558519289. Note that the first 3 decimals are identical.

It can be divided in two parts, 569 and 2752, that added together give a triangular number (3321 = T81).

The spelling of 5692752 in words is "five million, six hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3041 6082 9123 12164 18246 24328 27369 36492 39533 48656 54738 72984 79066 109476 118599 145968 158132 218952 237198 316264 355797 437904 474396 632528 711594 948792 1423188 1897584 2846376 5692752