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2491869952 = 281113431583
BaseRepresentation
bin1001010010000110…
…1110101100000000
320102122220002221201
42110201232230000
520100404314302
61051133230544
7115515354655
oct22441565400
96378802851
102491869952
111069660860
12596632454
13309343a80
14198d35c2c
15e8b71c87
hex9486eb00

2491869952 has 144 divisors (see below), whose sum is σ = 5983262208. Its totient is φ = 1020579840.

The previous prime is 2491869943. The next prime is 2491869953. The reversal of 2491869952 is 2599681942.

It is a junction number, because it is equal to n+sod(n) for n = 2491869893 and 2491869902.

It is not an unprimeable number, because it can be changed into a prime (2491869953) 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, 1573353 + ... + 1574935.

It is an arithmetic number, because the mean of its divisors is an integer number (41550432).

Almost surely, 22491869952 is an apocalyptic number.

2491869952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2491869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991631104).

2491869952 is an abundant number, since it is smaller than the sum of its proper divisors (3491392256).

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

2491869952 is a wasteful number, since it uses less digits than its factorization.

2491869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1652 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 55.

The square root of 2491869952 is about 49918.6333146251. The cubic root of 2491869952 is about 1355.7359875604.

The spelling of 2491869952 in words is "two billion, four hundred ninety-one million, eight hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 128 143 172 176 208 256 286 344 352 416 473 559 572 688 704 832 946 1118 1144 1376 1408 1583 1664 1892 2236 2288 2752 2816 3166 3328 3784 4472 4576 5504 6149 6332 7568 8944 9152 11008 12298 12664 15136 17413 17888 18304 20579 24596 25328 30272 34826 35776 36608 41158 49192 50656 60544 68069 69652 71552 82316 98384 101312 121088 136138 139304 143104 164632 196768 202624 226369 272276 278608 329264 393536 405248 452738 544552 557216 658528 748759 787072 884897 905476 1089104 1114432 1317056 1497518 1574144 1769794 1810952 2178208 2228864 2634112 2995036 3539588 3621904 4356416 4457728 5268224 5990072 7079176 7243808 8712832 9733867 11980144 14158352 14487616 17425664 19467734 23960288 28316704 28975232 38935468 47920576 56633408 57950464 77870936 95841152 113266816 155741872 191682304 226533632 311483744 622967488 1245934976 2491869952