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536105444 = 227193132507
BaseRepresentation
bin11111111101000…
…101000111100100
31101100202222102012
4133331011013210
52044220333234
6125110333352
716166551430
oct3775050744
91340688365
10536105444
11255687a56
1212b65a258
13870b7074
14512b39c0
15320eb0ce
hex1ff451e4

536105444 has 48 divisors (see below), whose sum is σ = 1165086720. Its totient is φ = 210638880.

The previous prime is 536105443. The next prime is 536105477. The reversal of 536105444 is 444501635.

It is a self number, because there is not a number n which added to its sum of digits gives 536105444.

It is not an unprimeable number, because it can be changed into a prime (536105443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239 + ... + 32745.

It is an arithmetic number, because the mean of its divisors is an integer number (24272640).

Almost surely, 2536105444 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 536105444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582543360).

536105444 is an abundant number, since it is smaller than the sum of its proper divisors (628981276).

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

536105444 is a wasteful number, since it uses less digits than its factorization.

536105444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32568 (or 32566 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 536105444 is about 23153.9509371511. The cubic root of 536105444 is about 812.3628834968.

The spelling of 536105444 in words is "five hundred thirty-six million, one hundred five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 8246 16492 32507 65014 130028 227549 455098 617633 910196 1007717 1235266 2015434 2470532 4030868 4323431 7054019 8646862 14108038 17293724 19146623 28216076 38293246 76586492 134026361 268052722 536105444