Search a number
-
+
5362532406 = 23271119320047
BaseRepresentation
bin1001111111010000…
…11100000000110110
3111211201112212112100
410333220130000312
541440302014111
62244041402530
7246613526160
oct47750340066
914751485470
105362532406
112302011a70
121057a99446
13675cb21ca
1438c2b1930
15215bb8756
hex13fa1c036

5362532406 has 96 divisors (see below), whose sum is σ = 14561584128. Its totient is φ = 1385579520.

The previous prime is 5362532389. The next prime is 5362532429. The reversal of 5362532406 is 6042352635.

5362532406 is a `hidden beast` number, since 5 + 3 + 625 + 3 + 24 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257475 + ... + 277521.

It is an arithmetic number, because the mean of its divisors is an integer number (151683168).

Almost surely, 25362532406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5362532406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280792064).

5362532406 is an abundant number, since it is smaller than the sum of its proper divisors (9199051722).

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

5362532406 is a wasteful number, since it uses less digits than its factorization.

5362532406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20266 (or 20263 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5362532406 is about 73229.3138435695. The cubic root of 5362532406 is about 1750.3435957719.

The spelling of 5362532406 in words is "five billion, three hundred sixty-two million, five hundred thirty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 193 198 231 386 462 579 693 1158 1351 1386 1737 2123 2702 3474 4053 4246 6369 8106 12159 12738 14861 19107 20047 24318 29722 38214 40094 44583 60141 89166 120282 133749 140329 180423 220517 267498 280658 360846 420987 441034 661551 841974 1262961 1323102 1543619 1984653 2525922 3087238 3869071 3969306 4630857 7738142 9261714 11607213 13892571 23214426 27083497 27785142 34821639 42559781 54166994 69643278 81250491 85119562 127679343 162500982 243751473 255358686 297918467 383038029 487502946 595836934 766076058 893755401 1787510802 2681266203 5362532406