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542428928 = 28171131103
BaseRepresentation
bin100000010101001…
…100111100000000
31101210200020121022
4200111030330000
52102330211203
6125454045012
716304366306
oct4025147400
91353606538
10542428928
11259206978
121317a9768
13884bc382
145207c276
1532949a38
hex2054cf00

542428928 has 72 divisors (see below), whose sum is σ = 1157623488. Its totient is φ = 252772352.

The previous prime is 542428921. The next prime is 542428933. The reversal of 542428928 is 829824245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542428921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491225 + ... + 492327.

It is an arithmetic number, because the mean of its divisors is an integer number (16078104).

Almost surely, 2542428928 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 542428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578811744).

542428928 is an abundant number, since it is smaller than the sum of its proper divisors (615194560).

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

542428928 is a wasteful number, since it uses less digits than its factorization.

542428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 542428928 is about 23290.1036494044. The cubic root of 542428928 is about 815.5444079890.

The spelling of 542428928 in words is "five hundred forty-two million, four hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 452 544 904 1088 1103 1808 1921 2176 2206 3616 3842 4352 4412 7232 7684 8824 14464 15368 17648 18751 28928 30736 35296 37502 61472 70592 75004 122944 124639 141184 150008 245888 249278 282368 300016 491776 498556 600032 997112 1200064 1994224 2118863 2400128 3988448 4237726 4800256 7976896 8475452 15953792 16950904 31907584 33901808 67803616 135607232 271214464 542428928