Search a number
-
+
5402481336 = 2332714971941
BaseRepresentation
bin1010000100000001…
…10101001010111000
3111221111201111011100
411002000311022320
542031013400321
62252025531400
7250610222310
oct50200651270
914844644140
105402481336
11232261820a
121069343b60
1368135b725
14393710440
1521945a326
hex1420352b8

5402481336 has 96 divisors (see below), whose sum is σ = 16834428000. Its totient is φ = 1533185280.

The previous prime is 5402481269. The next prime is 5402481353. The reversal of 5402481336 is 6331842045.

5402481336 is a `hidden beast` number, since 540 + 2 + 4 + 81 + 3 + 36 = 666.

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 5402481336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39126 + ... + 111066.

It is an arithmetic number, because the mean of its divisors is an integer number (175358625).

Almost surely, 25402481336 is an apocalyptic number.

5402481336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402481336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417214000).

5402481336 is an abundant number, since it is smaller than the sum of its proper divisors (11431946664).

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

5402481336 is a wasteful number, since it uses less digits than its factorization.

5402481336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72109 (or 72102 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5402481336 is about 73501.5736974386. The cubic root of 5402481336 is about 1754.6793229073.

The spelling of 5402481336 in words is "five billion, four hundred two million, four hundred eighty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 447 504 596 894 1043 1192 1341 1788 2086 2682 3129 3576 4172 5364 6258 8344 9387 10728 12516 18774 25032 37548 71941 75096 143882 215823 287764 431646 503587 575528 647469 863292 1007174 1294938 1510761 1726584 2014348 2589876 3021522 4028696 4532283 5179752 6043044 9064566 10719209 12086088 18129132 21438418 32157627 36258264 42876836 64315254 75034463 85753672 96472881 128630508 150068926 192945762 225103389 257261016 300137852 385891524 450206778 600275704 675310167 771783048 900413556 1350620334 1800827112 2701240668 5402481336