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5402555352 = 23321096131123
BaseRepresentation
bin1010000100000010…
…00111001111011000
3111221111212020200200
411002001013033120
542031023232402
62252031302200
7250610651145
oct50201071730
914844766620
105402555352
112322668887
12106937a960
1368138631c
1439372d3cc
1521947221c
hex1420473d8

5402555352 has 96 divisors (see below), whose sum is σ = 14803417200. Its totient is φ = 1779833088.

The previous prime is 5402555351. The next prime is 5402555357. The reversal of 5402555352 is 2535552045.

5402555352 is a `hidden beast` number, since 54 + 0 + 2 + 5 + 553 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5402555351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4810263 + ... + 4811385.

Almost surely, 25402555352 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 5402555352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401708600).

5402555352 is an abundant number, since it is smaller than the sum of its proper divisors (9400861848).

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

5402555352 is a wasteful number, since it uses less digits than its factorization.

5402555352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

The square root of 5402555352 is about 73502.0771951378. The cubic root of 5402555352 is about 1754.6873361235.

The spelling of 5402555352 in words is "five billion, four hundred two million, five hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 613 654 872 981 1123 1226 1308 1839 1962 2246 2452 2616 3369 3678 3924 4492 4904 5517 6738 7356 7848 8984 10107 11034 13476 14712 20214 22068 26952 40428 44136 66817 80856 122407 133634 200451 244814 267268 367221 400902 489628 534536 601353 688399 734442 801804 979256 1101663 1202706 1376798 1468884 1603608 2065197 2203326 2405412 2753596 2937768 4130394 4406652 4810824 5507192 6195591 8260788 8813304 12391182 16521576 24782364 49564728 75035491 150070982 225106473 300141964 450212946 600283928 675319419 900425892 1350638838 1800851784 2701277676 5402555352