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2441425152 = 28347239283
BaseRepresentation
bin1001000110000101…
…0011000100000000
320022010222020200210
42101201103010000
520000001101102
61042132114120
7114333525405
oct22141230400
96263866623
102441425152
111043136941
12581765940
132cba6108a
141923642ac
15e450a36c
hex91853100

2441425152 has 144 divisors (see below), whose sum is σ = 6687313920. Its totient is φ = 790358016.

The previous prime is 2441425141. The next prime is 2441425153. The reversal of 2441425152 is 2515241442.

It is not an unprimeable number, because it can be changed into a prime (2441425153) 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, 8626803 + ... + 8627085.

It is an arithmetic number, because the mean of its divisors is an integer number (46439680).

Almost surely, 22441425152 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 2441425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343656960).

2441425152 is an abundant number, since it is smaller than the sum of its proper divisors (4245888768).

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

2441425152 is a wasteful number, since it uses less digits than its factorization.

2441425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2441425152 is about 49410.7797145522. The cubic root of 2441425152 is about 1346.5251563009.

Adding to 2441425152 its reverse (2515241442), we get a palindrome (4956666594).

The spelling of 2441425152 in words is "two billion, four hundred forty-one million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 239 256 282 283 376 384 478 564 566 717 752 768 849 956 1128 1132 1434 1504 1698 1912 2256 2264 2868 3008 3396 3824 4512 4528 5736 6016 6792 7648 9024 9056 11233 11472 12032 13301 13584 15296 18048 18112 22466 22944 26602 27168 30592 33699 36096 36224 39903 44932 45888 53204 54336 61184 67398 67637 72448 79806 89864 91776 106408 108672 134796 135274 159612 179728 183552 202911 212816 217344 269592 270548 319224 359456 405822 425632 539184 541096 638448 718912 811644 851264 1078368 1082192 1276896 1437824 1623288 1702528 2156736 2164384 2553792 2875648 3178939 3246576 3405056 4313472 4328768 5107584 6357878 6493152 8626944 8657536 9536817 10215168 12715756 12986304 17315072 19073634 25431512 25972608 38147268 50863024 51945216 76294536 101726048 152589072 203452096 305178144 406904192 610356288 813808384 1220712576 2441425152