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2505215244 = 2237472412633
BaseRepresentation
bin1001010101010010…
…1000110100001100
320110121000010020210
42111110220310030
520112313341434
61052331242420
7116036656350
oct22524506414
96417003223
102505215244
111076146324
1259aba9410
1330c0371ac
1419aa0b460
15e9e0aee9
hex95528d0c

2505215244 has 96 divisors (see below), whose sum is σ = 6853625856. Its totient is φ = 697374720.

The previous prime is 2505215243. The next prime is 2505215261. The reversal of 2505215244 is 4425125052.

It is a super-2 number, since 2×25052152442 = 12552206837539959072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2505215243) 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 31 ways as a sum of consecutive naturals, for example, 950152 + ... + 952784.

It is an arithmetic number, because the mean of its divisors is an integer number (71391936).

Almost surely, 22505215244 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 2505215244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426812928).

2505215244 is an abundant number, since it is smaller than the sum of its proper divisors (4348410612).

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

2505215244 is a wasteful number, since it uses less digits than its factorization.

2505215244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2505215244 is about 50052.1252695627. The cubic root of 2505215244 is about 1358.1519094800.

The spelling of 2505215244 in words is "two billion, five hundred five million, two hundred fifteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 241 282 329 482 564 658 723 964 987 1316 1446 1687 1974 2633 2892 3374 3948 5061 5266 6748 7899 10122 10532 11327 15798 18431 20244 22654 31596 33981 36862 45308 55293 67962 73724 79289 110586 123751 135924 158578 221172 237867 247502 317156 371253 475734 495004 634553 742506 866257 951468 1269106 1485012 1732514 1903659 2538212 2598771 3465028 3807318 4441871 5197542 7614636 8883742 10395084 13325613 17767484 26651226 29823991 53302452 59647982 89471973 119295964 178943946 208767937 357887892 417535874 626303811 835071748 1252607622 2505215244