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2412828088 = 2311217197717
BaseRepresentation
bin1000111111010000…
…1101010110111000
320020011011100220021
42033310031112320
514420140444323
61035231140224
7113535462136
oct21764152670
96204140807
102412828088
111028a84500
12574074674
132c5b5a838
1418c63c756
15e1c5c05d
hex8fd0d5b8

2412828088 has 96 divisors (see below), whose sum is σ = 5543067600. Its totient is φ = 977771520.

The previous prime is 2412828023. The next prime is 2412828091. The reversal of 2412828088 is 8808282142.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 308806 + ... + 316522.

Almost surely, 22412828088 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 2412828088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771533800).

2412828088 is an abundant number, since it is smaller than the sum of its proper divisors (3130239512).

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

2412828088 is a wasteful number, since it uses less digits than its factorization.

2412828088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 2412828088 is about 49120.5464953313. The cubic root of 2412828088 is about 1341.2470917807.

The spelling of 2412828088 in words is "two billion, four hundred twelve million, eight hundred twenty-eight thousand, eighty-eight".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 121 136 152 187 209 242 323 374 418 484 646 748 836 968 1292 1496 1672 2057 2299 2584 3553 4114 4598 7106 7717 8228 9196 14212 15434 16456 18392 28424 30868 39083 61736 78166 84887 131189 146623 156332 169774 262378 293246 312664 339548 524756 586492 679096 933757 1049512 1172984 1443079 1612853 1867514 2492591 2886158 3225706 3735028 4985182 5772316 6451412 7470056 9970364 11544632 12902824 15873869 17741383 19940728 27418501 31747738 35482766 54837002 63495476 70965532 109674004 126990952 141931064 219348008 301603511 603207022 1206414044 2412828088