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2049494382 = 2321331359787
BaseRepresentation
bin111101000101000…
…1100110101101110
312021211111002202100
41322022030311232
513144132310012
6535211435530
7101534262165
oct17212146556
95254432670
102049494382
11961982511
12492455ba6
132687b6590
141562a03dc
15beddc8dc
hex7a28cd6e

2049494382 has 96 divisors (see below), whose sum is σ = 4956456960. Its totient is φ = 607798080.

The previous prime is 2049494357. The next prime is 2049494383. The reversal of 2049494382 is 2834949402.

It is a happy number.

2049494382 is a `hidden beast` number, since 204 + 9 + 4 + 9 + 438 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049494383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603793 + ... + 2604579.

It is an arithmetic number, because the mean of its divisors is an integer number (51629760).

Almost surely, 22049494382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049494382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478228480).

2049494382 is an abundant number, since it is smaller than the sum of its proper divisors (2906962578).

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

2049494382 is a wasteful number, since it uses less digits than its factorization.

2049494382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2049494382 is about 45271.3417296196. The cubic root of 2049494382 is about 1270.2296445453.

The spelling of 2049494382 in words is "two billion, forty-nine million, four hundred ninety-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 359 403 558 718 787 806 1077 1209 1574 2154 2361 2418 3231 3627 4667 4722 6462 7083 7254 9334 10231 11129 14001 14166 20462 22258 24397 28002 30693 33387 42003 48794 61386 66774 73191 84006 92079 100161 144677 146382 184158 200322 219573 282533 289354 317161 434031 439146 565066 634322 847599 868062 951483 1302093 1695198 1902966 2542797 2604186 2854449 3672929 5085594 5708898 7345858 8758523 11018787 17517046 22037574 26275569 33056361 52551138 66112722 78826707 113860799 157653414 227721598 341582397 683164794 1024747191 2049494382