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2541605604 = 2231719679787
BaseRepresentation
bin1001011101111101…
…1101001011100100
320120010110221102220
42113133131023210
520201122334404
61100111232340
7116661201606
oct22737351344
96503427386
102541605604
1110947409aa
125ab2186b0
13316738a55
141a17a1176
15ed1e84d9
hex977dd2e4

2541605604 has 96 divisors (see below), whose sum is σ = 6709086720. Its totient is φ = 744049152.

The previous prime is 2541605603. The next prime is 2541605611. The reversal of 2541605604 is 4065061452.

It is not an unprimeable number, because it can be changed into a prime (2541605603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254799 + ... + 264585.

It is an arithmetic number, because the mean of its divisors is an integer number (69886320).

Almost surely, 22541605604 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 2541605604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354543360).

2541605604 is an abundant number, since it is smaller than the sum of its proper divisors (4167481116).

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

2541605604 is a wasteful number, since it uses less digits than its factorization.

2541605604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2541605604 is about 50414.3392696959. The cubic root of 2541605604 is about 1364.6964227144.

The spelling of 2541605604 in words is "two billion, five hundred forty-one million, six hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 67 68 76 102 114 134 201 204 228 268 323 402 646 804 969 1139 1273 1292 1938 2278 2546 3417 3819 3876 4556 5092 6834 7638 9787 13668 15276 19574 21641 29361 39148 43282 58722 64923 86564 117444 129846 166379 185953 259692 332758 371906 499137 557859 655729 665516 743812 998274 1115718 1311458 1967187 1996548 2231436 2622916 3161201 3934374 6322402 7868748 9483603 11147393 12458851 12644804 18967206 22294786 24917702 33442179 37376553 37934412 44589572 49835404 66884358 74753106 133768716 149506212 211800467 423600934 635401401 847201868 1270802802 2541605604