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4233025140 = 22351015471277
BaseRepresentation
bin1111110001001110…
…1101011001110100
3101221000011221211220
43330103231121310
532132123301030
61540012230340
7206620056111
oct37423553164
911830157756
104233025140
111882483493
129a176b3b0
13525c9c906
142c2291908
1519b954a10
hexfc4ed674

4233025140 has 96 divisors (see below), whose sum is σ = 12001094784. Its totient is φ = 1114713600.

The previous prime is 4233025127. The next prime is 4233025141. The reversal of 4233025140 is 415203324.

It is a self number, because there is not a number n which added to its sum of digits gives 4233025140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233025141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314182 + ... + 3315458.

It is an arithmetic number, because the mean of its divisors is an integer number (125011404).

Almost surely, 24233025140 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 4233025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000547392).

4233025140 is an abundant number, since it is smaller than the sum of its proper divisors (7768069644).

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

4233025140 is a wasteful number, since it uses less digits than its factorization.

4233025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4233025140 is about 65061.7025599546. The cubic root of 4233025140 is about 1617.6464757819.

Adding to 4233025140 its reverse (415203324), we get a palindrome (4648228464).

The spelling of 4233025140 in words is "four billion, two hundred thirty-three million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 547 606 1010 1094 1212 1277 1515 1641 2020 2188 2554 2735 3030 3282 3831 5108 5470 6060 6385 6564 7662 8205 10940 12770 15324 16410 19155 25540 32820 38310 55247 76620 110494 128977 165741 220988 257954 276235 331482 386931 515908 552470 644885 662964 698519 773862 828705 1104940 1289770 1397038 1547724 1657410 1934655 2095557 2579540 2794076 3314820 3492595 3869310 4191114 6985190 7738620 8382228 10477785 13970380 20955570 41911140 70550419 141100838 211651257 282201676 352752095 423302514 705504190 846605028 1058256285 1411008380 2116512570 4233025140