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535976 = 23717563
BaseRepresentation
bin10000010110110101000
31000020012222
42002312220
5114122401
615253212
74361420
oct2026650
91006188
10535976
11336761
1221a208
13159c5c
14dd480
15a8c1b
hex82da8

535976 has 32 divisors (see below), whose sum is σ = 1218240. Its totient is φ = 215808.

The previous prime is 535973. The next prime is 535991. The reversal of 535976 is 679535.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (535973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2535976 is an apocalyptic number.

535976 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 535976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609120).

535976 is an abundant number, since it is smaller than the sum of its proper divisors (682264).

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

535976 is a wasteful number, since it uses less digits than its factorization.

535976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 28350, while the sum is 35.

The square root of 535976 is about 732.1038177745. The cubic root of 535976 is about 81.2297495884.

The spelling of 535976 in words is "five hundred thirty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 563 952 1126 2252 3941 4504 7882 9571 15764 19142 31528 38284 66997 76568 133994 267988 535976