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5404762890 = 2325312119181
BaseRepresentation
bin1010000100010011…
…00010001100001010
3111221200000101212100
411002021202030022
542032104403030
62252150454230
7250635504132
oct50211421412
914850011770
105404762890
11232393639a
12106a064376
1368197a067
14393b45ac2
1521975b360
hex14226230a

5404762890 has 96 divisors (see below), whose sum is σ = 14576020992. Its totient is φ = 1388016000.

The previous prime is 5404762873. The next prime is 5404762903. The reversal of 5404762890 is 982674045.

It is a happy number.

5404762890 is a `hidden beast` number, since 540 + 47 + 62 + 8 + 9 + 0 = 666.

It is a super-2 number, since 2×54047628902 = 58422923794242304200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584100 + ... + 593280.

It is an arithmetic number, because the mean of its divisors is an integer number (151833552).

Almost surely, 25404762890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5404762890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288010496).

5404762890 is an abundant number, since it is smaller than the sum of its proper divisors (9171258102).

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

5404762890 is a wasteful number, since it uses less digits than its factorization.

5404762890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5404762890 is about 73517.0925023562. The cubic root of 5404762890 is about 1754.9262978278.

The spelling of 5404762890 in words is "five billion, four hundred four million, seven hundred sixty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 211 279 310 422 465 558 633 930 1055 1266 1395 1899 2110 2790 3165 3798 6330 6541 9181 9495 13082 18362 18990 19623 27543 32705 39246 45905 55086 58869 65410 82629 91810 98115 117738 137715 165258 196230 275430 284611 294345 413145 569222 588690 826290 853833 1423055 1707666 1937191 2561499 2846110 3874382 4269165 5122998 5811573 8538330 9685955 11623146 12807495 17434719 19371910 25614990 29057865 34869438 58115730 60052921 87173595 120105842 174347190 180158763 300264605 360317526 540476289 600529210 900793815 1080952578 1801587630 2702381445 5404762890