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2041012248 = 23311171912381
BaseRepresentation
bin111100110100111…
…0110000000011000
312021020112011110020
41321221312000120
513134444342443
6534305550440
7101402214012
oct17151660030
95236464406
102041012248
11958109790
1248b645420
13266b06872
141550d31b2
15be2b4583
hex79a76018

2041012248 has 128 divisors (see below), whose sum is σ = 5927178240. Its totient is φ = 578816000.

The previous prime is 2041012219. The next prime is 2041012327. The reversal of 2041012248 is 8422101402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856018 + ... + 858398.

It is an arithmetic number, because the mean of its divisors is an integer number (46306080).

Almost surely, 22041012248 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 2041012248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963589120).

2041012248 is an abundant number, since it is smaller than the sum of its proper divisors (3886165992).

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

2041012248 is a wasteful number, since it uses less digits than its factorization.

2041012248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2041012248 is about 45177.5635465216. The cubic root of 2041012248 is about 1268.4748774448.

The spelling of 2041012248 in words is "two billion, forty-one million, twelve thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 191 204 264 374 382 408 561 573 748 764 1122 1146 1496 1528 2101 2244 2292 2381 3247 4202 4488 4584 4762 6303 6494 7143 8404 9524 9741 12606 12988 14286 16808 19048 19482 25212 25976 26191 28572 35717 38964 40477 50424 52382 57144 71434 77928 78573 80954 104764 107151 121431 142868 157146 161908 209528 214302 242862 285736 314292 323816 428604 445247 454771 485724 628584 857208 890494 909542 971448 1335741 1364313 1780988 1819084 2671482 2728626 3561976 3638168 5002481 5342964 5457252 7731107 10004962 10685928 10914504 15007443 15462214 20009924 23193321 30014886 30924428 40019848 46386642 60029772 61848856 85042177 92773284 120059544 170084354 185546568 255126531 340168708 510253062 680337416 1020506124 2041012248