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542453436 = 223472310399
BaseRepresentation
bin100000010101010…
…010111010111100
31101210201111020000
4200111102322330
52102332002221
6125454354300
716304530620
oct4025227274
91353644200
10542453436
11259223328
121317bb990
13884ca585
1452087180
1532951e26
hex20552ebc

542453436 has 120 divisors (see below), whose sum is σ = 1691289600. Its totient is φ = 148233888.

The previous prime is 542453393. The next prime is 542453453. The reversal of 542453436 is 634354245.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 542453436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46965 + ... + 57363.

It is an arithmetic number, because the mean of its divisors is an integer number (14094080).

Almost surely, 2542453436 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 542453436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845644800).

542453436 is an abundant number, since it is smaller than the sum of its proper divisors (1148836164).

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

542453436 is a wasteful number, since it uses less digits than its factorization.

542453436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10434 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 542453436 is about 23290.6297896815. The cubic root of 542453436 is about 815.5566904345.

The spelling of 542453436 in words is "five hundred forty-two million, four hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1134 1242 1449 1863 1932 2268 2484 2898 3726 4347 5796 7452 8694 10399 13041 17388 20798 26082 31197 41596 52164 62394 72793 93591 124788 145586 187182 218379 239177 280773 291172 374364 436758 478354 561546 655137 717531 842319 873516 956708 1123092 1310274 1435062 1674239 1684638 1965411 2152593 2620548 2870124 3348478 3369276 3930822 4305186 5022717 5896233 6457779 6696956 7861644 8610372 10045434 11792466 12915558 15068151 19373337 20090868 23584932 25831116 30136302 38746674 45204453 60272604 77493348 90408906 135613359 180817812 271226718 542453436