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536744 = 23132397
BaseRepresentation
bin10000011000010101000
31000021021102
42003002220
5114133434
615300532
74363565
oct2030250
91007242
10536744
1133729a
1221a748
1315a400
14dd86c
15a907e
hex830a8

536744 has 24 divisors (see below), whose sum is σ = 1092510. Its totient is φ = 247104.

The previous prime is 536743. The next prime is 536749. The reversal of 536744 is 447635.

It can be written as a sum of positive squares in 3 ways, for example, as 315844 + 220900 = 562^2 + 470^2 .

It is not an unprimeable number, because it can be changed into a prime (536743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1154 + ... + 1550.

2536744 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 536744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546255).

536744 is an abundant number, since it is smaller than the sum of its proper divisors (555766).

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

536744 is a wasteful number, since it uses less digits than its factorization.

536744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 536744 is about 732.6281457875. The cubic root of 536744 is about 81.2685291074.

The spelling of 536744 in words is "five hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 397 676 794 1352 1588 3176 5161 10322 20644 41288 67093 134186 268372 536744