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4254122432 = 26717619157
BaseRepresentation
bin1111110110010000…
…1100000111000000
3101222110212210220002
43331210030013000
532203023404212
61542044335132
7210264305210
oct37544140700
911873783802
104254122432
11189338316a
129a88444a8
1352a478611
142c4dc4240
1519d720ac2
hexfd90c1c0

4254122432 has 112 divisors (see below), whose sum is σ = 10383853248. Its totient is φ = 1687633920.

The previous prime is 4254122417. The next prime is 4254122437. The reversal of 4254122432 is 2342214524.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×42541224323 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4254122395 and 4254122404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254122437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459998 + ... + 469154.

Almost surely, 24254122432 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 4254122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191926624).

4254122432 is an abundant number, since it is smaller than the sum of its proper divisors (6129730816).

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

4254122432 is a wasteful number, since it uses less digits than its factorization.

4254122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9244 counting only the distinct ones).

The product of its digits is 15360, while the sum is 29.

The square root of 4254122432 is about 65223.6339987278. The cubic root of 4254122432 is about 1620.3294599961.

Adding to 4254122432 its reverse (2342214524), we get a palindrome (6596336956).

The spelling of 4254122432 in words is "four billion, two hundred fifty-four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 136 224 238 244 272 427 448 476 488 544 854 952 976 1037 1088 1708 1904 1952 2074 3416 3808 3904 4148 6832 7259 7616 8296 9157 13664 14518 16592 18314 27328 29036 33184 36628 58072 64099 66368 73256 116144 128198 146512 155669 232288 256396 293024 311338 464576 512792 558577 586048 622676 1025584 1089683 1117154 1245352 2051168 2179366 2234308 2490704 3910039 4102336 4358732 4468616 4981408 7820078 8717464 8937232 9495809 9962816 15640156 17434928 17874464 18991618 31280312 34869856 35748928 37983236 62560624 66470663 69739712 75966472 125121248 132941326 151932944 250242496 265882652 303865888 531765304 607731776 1063530608 2127061216 4254122432