Search a number
-
+
4254334524 = 223211171016257
BaseRepresentation
bin1111110110010011…
…1111111000111100
3101222111021120211100
43331210333320330
532203102201044
61542053053100
7210266150436
oct37544777074
911874246740
104254334524
111893508550
129a8927190
1352a52100b
142c503b656
1519d763869
hexfd93fe3c

4254334524 has 144 divisors (see below), whose sum is σ = 12546739296. Its totient is φ = 1201152000.

The previous prime is 4254334523. The next prime is 4254334561.

4254334524 is nontrivially palindromic in base 10.

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 (4254334523) 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, 676804 + ... + 683060.

It is an arithmetic number, because the mean of its divisors is an integer number (87130134).

Almost surely, 24254334524 is an apocalyptic number.

4254334524 is a gapful number since it is divisible by the number (44) 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 4254334524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273369648).

4254334524 is an abundant number, since it is smaller than the sum of its proper divisors (8292404772).

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

4254334524 is a wasteful number, since it uses less digits than its factorization.

4254334524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6391 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4254334524 is about 65225.2598614984. The cubic root of 4254334524 is about 1620.3563870698.

The spelling of 4254334524 in words is "four billion, two hundred fifty-four million, three hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 101 102 132 153 187 198 202 204 303 306 374 396 404 561 606 612 748 909 1111 1122 1212 1683 1717 1818 2222 2244 3333 3366 3434 3636 4444 5151 6257 6666 6732 6868 9999 10302 12514 13332 15453 18771 18887 19998 20604 25028 30906 37542 37774 39996 56313 56661 61812 68827 75084 75548 106369 112626 113322 137654 169983 206481 212738 225252 226644 275308 319107 339966 412962 425476 619443 631957 638214 679932 825924 957321 1170059 1238886 1263914 1276428 1895871 1914642 2340118 2477772 2527828 3510177 3791742 3829284 4680236 5687613 6951527 7020354 7583484 10530531 10743269 11375226 13903054 14040708 20854581 21061062 21486538 22750452 27806108 32229807 41709162 42122124 42973076 62563743 64459614 83418324 96689421 118175959 125127486 128919228 193378842 236351918 250254972 354527877 386757684 472703836 709055754 1063583631 1418111508 2127167262 4254334524