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535250000 = 24562141
BaseRepresentation
bin11111111001110…
…100010001010000
31101022011111222002
4133321310101100
52044011000000
6125040133132
716156356425
oct3771642120
91338144862
10535250000
1125515327a
1212b3071a8
1386b7789c
145112dd4c
1531ecc8d5
hex1fe74450

535250000 has 70 divisors (see below), whose sum is σ = 1296897462. Its totient is φ = 214000000.

The previous prime is 535249963. The next prime is 535250003. The reversal of 535250000 is 52535.

It can be written as a sum of positive squares in 7 ways, for example, as 502118464 + 33131536 = 22408^2 + 5756^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535250003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 248930 + ... + 251070.

Almost surely, 2535250000 is an apocalyptic number.

535250000 is a gapful number since it is divisible by the number (50) 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 535250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648448731).

535250000 is an abundant number, since it is smaller than the sum of its proper divisors (761647462).

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

535250000 is an frugal number, since it uses more digits than its factorization.

535250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 535250000 is about 23135.4706025185. The cubic root of 535250000 is about 811.9305674816.

The spelling of 535250000 in words is "five hundred thirty-five million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2141 2500 3125 4282 5000 6250 8564 10000 10705 12500 15625 17128 21410 25000 31250 34256 42820 50000 53525 62500 85640 107050 125000 171280 214100 250000 267625 428200 535250 856400 1070500 1338125 2141000 2676250 4282000 5352500 6690625 10705000 13381250 21410000 26762500 33453125 53525000 66906250 107050000 133812500 267625000 535250000