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2541037056 = 29317234231
BaseRepresentation
bin1001011101110101…
…0010011000000000
320120002102001112120
42113131102120000
520201001141211
61100051124240
7116653313205
oct22735223000
96502361476
102541037056
111094392828
125aaba3680
1331659a02c
141a1693cac
15ed134d06
hex97752600

2541037056 has 160 divisors (see below), whose sum is σ = 7481092608. Its totient is φ = 762347520.

The previous prime is 2541037027. The next prime is 2541037061. The reversal of 2541037056 is 6507301452.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 598461 + ... + 602691.

Almost surely, 22541037056 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 2541037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740546304).

2541037056 is an abundant number, since it is smaller than the sum of its proper divisors (4940055552).

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

2541037056 is a wasteful number, since it uses less digits than its factorization.

2541037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2541037056 is about 50408.7002014533. The cubic root of 2541037056 is about 1364.5946559044.

The spelling of 2541037056 in words is "two billion, five hundred forty-one million, thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 256 272 276 368 384 391 408 512 544 552 736 768 782 816 1088 1104 1173 1472 1536 1564 1632 2176 2208 2346 2944 3128 3264 4231 4352 4416 4692 5888 6256 6528 8462 8704 8832 9384 11776 12512 12693 13056 16924 17664 18768 25024 25386 26112 33848 35328 37536 50048 50772 67696 71927 75072 97313 100096 101544 135392 143854 150144 194626 200192 203088 215781 270784 287708 291939 300288 389252 406176 431562 541568 575416 583878 600576 778504 812352 863124 1083136 1150832 1167756 1557008 1624704 1654321 1726248 2166272 2301664 2335512 3114016 3249408 3308642 3452496 4603328 4671024 4962963 6228032 6498816 6617284 6904992 9206656 9342048 9925926 12456064 13234568 13809984 18413312 18684096 19851852 24912128 26469136 27619968 36826624 37368192 39703704 49824256 52938272 55239936 74736384 79407408 105876544 110479872 149472768 158814816 211753088 317629632 423506176 635259264 847012352 1270518528 2541037056