Search a number
-
+
538335672 = 233719316603
BaseRepresentation
bin100000000101100…
…101100110111000
31101111222021201020
4200011211212320
52100303220142
6125230222440
716224530520
oct4005454670
91344867636
10538335672
11256970616
12130354a20
13876b8224
14516d4680
15323dbcec
hex201659b8

538335672 has 64 divisors (see below), whose sum is σ = 1546164480. Its totient is φ = 153004032.

The previous prime is 538335643. The next prime is 538335673. The reversal of 538335672 is 276533835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538335673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24123 + ... + 40725.

It is an arithmetic number, because the mean of its divisors is an integer number (24158820).

Almost surely, 2538335672 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 538335672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773082240).

538335672 is an abundant number, since it is smaller than the sum of its proper divisors (1007828808).

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

538335672 is a wasteful number, since it uses less digits than its factorization.

538335672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812 (or 16808 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The square root of 538335672 is about 23202.0618049345. The cubic root of 538335672 is about 813.4878163665.

The spelling of 538335672 in words is "five hundred thirty-eight million, three hundred thirty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10808 16212 16603 32424 33206 49809 66412 99618 116221 132824 199236 232442 348663 398472 464884 697326 929768 1394652 2789304 3204379 6408758 9613137 12817516 19226274 22430653 25635032 38452548 44861306 67291959 76905096 89722612 134583918 179445224 269167836 538335672