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2041247392 = 251761137449
BaseRepresentation
bin111100110101010…
…1111011010100000
312021020222010000021
41321222233122200
513140024404032
6534315003224
7101404213402
oct17152573240
95236863007
102041247392
1195825a418
1248b739514
13266b898c2
14155154b72
15be30e097
hex79aaf6a0

2041247392 has 96 divisors (see below), whose sum is σ = 4366126800. Its totient is φ = 935854080.

The previous prime is 2041247363. The next prime is 2041247419. The reversal of 2041247392 is 2937421402.

It can be written as a sum of positive squares in 8 ways, for example, as 909866896 + 1131380496 = 30164^2 + 33636^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4545984 + ... + 4546432.

Almost surely, 22041247392 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 2041247392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183063400).

2041247392 is an abundant number, since it is smaller than the sum of its proper divisors (2324879408).

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

2041247392 is a wasteful number, since it uses less digits than its factorization.

2041247392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2041247392 is about 45180.1659138167. The cubic root of 2041247392 is about 1268.5235890261.

Adding to 2041247392 its reverse (2937421402), we get a palindrome (4978668794).

The spelling of 2041247392 in words is "two billion, forty-one million, two hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 137 244 272 274 449 488 544 548 898 976 1037 1096 1796 1952 2074 2192 2329 3592 4148 4384 4658 7184 7633 8296 8357 9316 14368 15266 16592 16714 18632 27389 30532 33184 33428 37264 54778 61064 61513 66856 74528 109556 122128 123026 133712 142069 219112 244256 246052 267424 284138 438224 465613 492104 568276 876448 931226 984208 1045721 1136552 1862452 1968416 2091442 2273104 3724904 3752293 4182884 4546208 7449808 7504586 8365768 14899616 15009172 16731536 30018344 33463072 60036688 63788981 120073376 127577962 255155924 510311848 1020623696 2041247392