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2538421248 = 21031126829
BaseRepresentation
bin1001011101001101…
…0011110000000000
320112220111011022210
42113103103300000
520144313434443
61055515102120
7116622140016
oct22723236000
96486434283
102538421248
111092966500
125aa141940
13315b9250c
141a11b28b6
15eccb9c33
hex974d3c00

2538421248 has 132 divisors (see below), whose sum is σ = 7437897320. Its totient is φ = 769105920.

The previous prime is 2538421247. The next prime is 2538421253. The reversal of 2538421248 is 8421248352.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538421247) 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, 368298 + ... + 375126.

Almost surely, 22538421248 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 2538421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718948660).

2538421248 is an abundant number, since it is smaller than the sum of its proper divisors (4899476072).

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

2538421248 is a wasteful number, since it uses less digits than its factorization.

2538421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6845 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 2538421248 is about 50382.7475233338. The cubic root of 2538421248 is about 1364.1262456857.

The spelling of 2538421248 in words is "two billion, five hundred thirty-eight million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 6829 7744 8448 11264 11616 13658 15488 16896 20487 23232 27316 30976 33792 40974 46464 54632 61952 75119 81948 92928 109264 123904 150238 163896 185856 218528 225357 300476 327792 371712 437056 450714 600952 655584 826309 874112 901428 1201904 1311168 1652618 1748224 1802856 2403808 2478927 2622336 3305236 3496448 3605712 4807616 4957854 5244672 6610472 6992896 7211424 9615232 9915708 10489344 13220944 14422848 19230464 19831416 20978688 26441888 28845696 38460928 39662832 52883776 57691392 76921856 79325664 105767552 115382784 158651328 211535104 230765568 317302656 423070208 634605312 846140416 1269210624 2538421248