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2481403904 = 2117279313
BaseRepresentation
bin1001001111100111…
…0011100000000000
320101221012101020022
42103321303200000
520040214411104
61050121033012
7115330404500
oct22371634000
96357171208
102481403904
111063762531
12593025768
1330711b045
141977ada00
15e7ca5bbe
hex93e73800

2481403904 has 144 divisors (see below), whose sum is σ = 5863384800. Its totient is φ = 1046642688.

The previous prime is 2481403901. The next prime is 2481403913. The reversal of 2481403904 is 4093041842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481403901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7927652 + ... + 7927964.

It is an arithmetic number, because the mean of its divisors is an integer number (40717950).

Almost surely, 22481403904 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 2481403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931692400).

2481403904 is an abundant number, since it is smaller than the sum of its proper divisors (3381980896).

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

2481403904 is an equidigital number, since it uses as much as digits as its factorization.

2481403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2481403904 is about 49813.6919330419. The cubic root of 2481403904 is about 1353.8352583993.

The spelling of 2481403904 in words is "two billion, four hundred eighty-one million, four hundred three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 313 316 392 448 512 553 626 632 784 896 1024 1106 1252 1264 1568 1792 2048 2191 2212 2504 2528 3136 3584 3871 4382 4424 5008 5056 6272 7168 7742 8764 8848 10016 10112 12544 14336 15337 15484 17528 17696 20032 20224 24727 25088 30674 30968 35056 35392 40064 40448 49454 50176 61348 61936 70112 70784 80128 80896 98908 100352 122696 123872 140224 141568 160256 161792 173089 197816 245392 247744 280448 283136 320512 346178 395632 490784 495488 560896 566272 641024 692356 791264 981568 990976 1121792 1132544 1211623 1384712 1582528 1963136 1981952 2243584 2423246 2769424 3165056 3926272 3963904 4487168 4846492 5538848 6330112 7852544 7927808 9692984 11077696 12660224 15705088 19385968 22155392 25320448 31410176 38771936 44310784 50640896 77543872 88621568 155087744 177243136 310175488 354486272 620350976 1240701952 2481403904