Search a number
-
+
4054552008 = 2331324721269
BaseRepresentation
bin1111000110101011…
…1000110111001000
3101110120100120201220
43301222320313020
531300431131013
61510155042040
7202322060223
oct36152706710
911416316656
104054552008
1117a0763a31
12951a40320
134c8011a00
142a66b45ba
1518ae4db23
hexf1ab8dc8

4054552008 has 96 divisors (see below), whose sum is σ = 11210140800. Its totient is φ = 1220953344.

The previous prime is 4054551971. The next prime is 4054552009. The reversal of 4054552008 is 8002554504.

It is a self number, because there is not a number n which added to its sum of digits gives 4054552008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054552009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179998 + ... + 201266.

It is an arithmetic number, because the mean of its divisors is an integer number (116772300).

Almost surely, 24054552008 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 4054552008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605070400).

4054552008 is an abundant number, since it is smaller than the sum of its proper divisors (7155588792).

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

4054552008 is a wasteful number, since it uses less digits than its factorization.

4054552008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21351 (or 21334 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 4054552008 is about 63675.3642156839. The cubic root of 4054552008 is about 1594.5848191031.

The spelling of 4054552008 in words is "four billion, fifty-four million, five hundred fifty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 169 188 282 312 338 376 507 564 611 676 1014 1128 1222 1352 1833 2028 2444 3666 4056 4888 7332 7943 14664 15886 21269 23829 31772 42538 47658 63544 63807 85076 95316 127614 170152 190632 255228 276497 510456 552994 829491 999643 1105988 1658982 1999286 2211976 2998929 3317964 3594461 3998572 5997858 6635928 7188922 7997144 10783383 11995716 12995359 14377844 21566766 23991432 25990718 28755688 38986077 43133532 51981436 77972154 86267064 103962872 155944308 168939667 311888616 337879334 506819001 675758668 1013638002 1351517336 2027276004 4054552008