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2541032104 = 2313612691489
BaseRepresentation
bin1001011101110101…
…0001001010101000
320120002101210202011
42113131101022220
520201001011404
61100051045304
7116653262602
oct22735211250
96502353664
102541032104
11109438a036
125aaba0834
133165979c0
141a1692172
15ed133604
hex977512a8

2541032104 has 64 divisors (see below), whose sum is σ = 5237946000. Its totient is φ = 1148497920.

The previous prime is 2541032101. The next prime is 2541032189. The reversal of 2541032104 is 4012301452.

It can be written as a sum of positive squares in 8 ways, for example, as 40832100 + 2500200004 = 6390^2 + 50002^2 .

It is not an unprimeable number, because it can be changed into a prime (2541032101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705792 + ... + 1707280.

Almost surely, 22541032104 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 2541032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618973000).

2541032104 is an abundant number, since it is smaller than the sum of its proper divisors (2696913896).

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

2541032104 is a wasteful number, since it uses less digits than its factorization.

2541032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2541032104 is about 50408.6510829242. The cubic root of 2541032104 is about 1364.5937694583.

Adding to 2541032104 its reverse (4012301452), we get a palindrome (6553333556).

The spelling of 2541032104 in words is "two billion, five hundred forty-one million, thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 269 488 538 793 1076 1489 1586 2152 2978 3172 3497 5956 6344 6994 11912 13988 16409 19357 27976 32818 38714 65636 77428 90829 131272 154856 181658 213317 363316 400541 426634 726632 801082 853268 1180777 1602164 1706536 2361554 3204328 4723108 5207033 9446216 10414066 20828132 24433001 41656264 48866002 97732004 195464008 317629013 635258026 1270516052 2541032104