Search a number
-
+
2441201952 = 253723491487
BaseRepresentation
bin1001000110000001…
…1100100100100000
320022010112220112010
42101200130210200
514444421430302
61042123232520
7114331605600
oct22140344440
96263486463
102441201952
111042aa4182
12581678740
132cb9b35c7
14192306c00
15e44b416c
hex9181c920

2441201952 has 144 divisors (see below), whose sum is σ = 7480771200. Its totient is φ = 695020032.

The previous prime is 2441201929. The next prime is 2441201957. The reversal of 2441201952 is 2591021442.

It is a super-2 number, since 2×24412019522 = 11918933940897220608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2441201957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640953 + ... + 1642439.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 22441201952 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 2441201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740385600).

2441201952 is an abundant number, since it is smaller than the sum of its proper divisors (5039569248).

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

2441201952 is a wasteful number, since it uses less digits than its factorization.

2441201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2441201952 is about 49408.5210464754. The cubic root of 2441201952 is about 1346.4841210373.

The spelling of 2441201952 in words is "two billion, four hundred forty-one million, two hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 349 392 588 672 698 784 1047 1176 1396 1487 1568 2094 2352 2443 2792 2974 4188 4461 4704 4886 5584 5948 7329 8376 8922 9772 10409 11168 11896 14658 16752 17101 17844 19544 20818 23792 29316 31227 33504 34202 35688 39088 41636 47584 51303 58632 62454 68404 71376 72863 78176 83272 102606 117264 124908 136808 142752 145726 166544 205212 218589 234528 249816 273616 291452 333088 410424 437178 499632 518963 547232 582904 820848 874356 999264 1037926 1165808 1556889 1641696 1748712 2075852 2331616 3113778 3497424 3632741 4151704 6227556 6994848 7265482 8303408 10898223 12455112 14530964 16606816 21796446 24910224 25429187 29061928 43592892 49820448 50858374 58123856 76287561 87185784 101716748 116247712 152575122 174371568 203433496 305150244 348743136 406866992 610300488 813733984 1220600976 2441201952