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6049889406 = 2331124012309
BaseRepresentation
bin1011010001001100…
…11111110001111110
3120121121221020002000
411220212133301332
544342232430111
62440154043130
7302631132351
oct55046376176
916547836060
106049889406
112625006500
12120a1194a6
13755515a22
144156b8298
152561dec56
hex16899fc7e

6049889406 has 96 divisors (see below), whose sum is σ = 14820775200. Its totient is φ = 1827936000.

The previous prime is 6049889401. The next prime is 6049889411.

6049889406 is a `hidden beast` number, since 60 + 498 + 8 + 94 + 0 + 6 = 666.

6049889406 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6049889401) and next prime (6049889411).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6049889401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2618980 + ... + 2621288.

It is an arithmetic number, because the mean of its divisors is an integer number (154383075).

Almost surely, 26049889406 is an apocalyptic number.

6049889406 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6049889406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410387600).

6049889406 is an abundant number, since it is smaller than the sum of its proper divisors (8770885794).

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

6049889406 is a wasteful number, since it uses less digits than its factorization.

6049889406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6049889406 is about 77781.0350021135. The cubic root of 6049889406 is about 1822.1430905352.

The spelling of 6049889406 in words is "six billion, forty-nine million, eight hundred eighty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 401 594 726 802 1089 1203 2178 2309 2406 3267 3609 4411 4618 6534 6927 7218 8822 10827 13233 13854 20781 21654 25399 26466 39699 41562 48521 50798 62343 76197 79398 97042 119097 124686 145563 152394 228591 238194 279389 291126 436689 457182 558778 685773 838167 873378 925909 1310067 1371546 1676334 1851818 2514501 2620134 2777727 5029002 5555454 7543503 8333181 10184999 15087006 16666362 20369998 24999543 30554997 49999086 61109994 91664991 112034989 183329982 224069978 274994973 336104967 549989946 672209934 1008314901 2016629802 3024944703 6049889406