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542332224 = 26327134507
BaseRepresentation
bin100000010100110…
…101010101000000
31101210111022221200
4200110311111000
52102314112344
6125452021200
716303514340
oct4024652500
91353438850
10542332224
11259150255
12131761800
1388487355
1452054d20
153292b069
hex20535540

542332224 has 84 divisors (see below), whose sum is σ = 1776581664. Its totient is φ = 154950912.

The previous prime is 542332223. The next prime is 542332247. The reversal of 542332224 is 422233245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542332223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63222 + ... + 71285.

Almost surely, 2542332224 is an apocalyptic number.

It is an amenable number.

542332224 is an abundant number, since it is smaller than the sum of its proper divisors (1234249440).

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

542332224 is a wasteful number, since it uses less digits than its factorization.

542332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134532 (or 134519 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 542332224 is about 23288.0274819487. The cubic root of 542332224 is about 815.4959401378.

Adding to 542332224 its reverse (422233245), we get a palindrome (964565469).

The spelling of 542332224 in words is "five hundred forty-two million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 134507 269014 403521 538028 807042 941549 1076056 1210563 1614084 1883098 2152112 2421126 2824647 3228168 3766196 4304224 4842252 5649294 6456336 7532392 8473941 8608448 9684504 11298588 12912672 15064784 16947882 19369008 22597176 25825344 30129568 33895764 38738016 45194352 60259136 67791528 77476032 90388704 135583056 180777408 271166112 542332224