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535950 = 23352397
BaseRepresentation
bin10000010110110001110
31000020012000
42002312032
5114122300
615253130
74361352
oct2026616
91006160
10535950
11336738
1221a1a6
13159c3c
14dd462
15a8c00
hex82d8e

535950 has 48 divisors (see below), whose sum is σ = 1480560. Its totient is φ = 142560.

The previous prime is 535943. The next prime is 535957. The reversal of 535950 is 59535.

It is an interprime number because it is at equal distance from previous prime (535943) and next prime (535957).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (30845).

2535950 is an apocalyptic number.

535950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 535950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740280).

535950 is an abundant number, since it is smaller than the sum of its proper divisors (944610).

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

535950 is a wasteful number, since it uses less digits than its factorization.

535950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 535950 is about 732.0860605147. The cubic root of 535950 is about 81.2284360920.

It can be divided in two parts, 535 and 950, that added together give a triangular number (1485 = T54).

The spelling of 535950 in words is "five hundred thirty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 397 450 675 794 1191 1350 1985 2382 3573 3970 5955 7146 9925 10719 11910 17865 19850 21438 29775 35730 53595 59550 89325 107190 178650 267975 535950