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2412955040 = 25561247229
BaseRepresentation
bin1000111111010010…
…1100010110100000
320020011101211001012
42033310230112200
514420204030130
61035234000052
7113536531226
oct21764542640
96204354035
102412955040
111029060921
12574116028
132c5ba3562
1418c672b16
15e1c84995
hex8fd2c5a0

2412955040 has 48 divisors (see below), whose sum is σ = 5794082280. Its totient is φ = 949355520.

The previous prime is 2412954997. The next prime is 2412955049. The reversal of 2412955040 is 405592142.

It can be written as a sum of positive squares in 4 ways, for example, as 648619024 + 1764336016 = 25468^2 + 42004^2 .

It is a super-2 number, since 2×24129550402 = 11644704050122803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2412954988 and 2412955006.

It is not an unprimeable number, because it can be changed into a prime (2412955049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113855 + ... + 133374.

Almost surely, 22412955040 is an apocalyptic number.

2412955040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2412955040 is an abundant number, since it is smaller than the sum of its proper divisors (3381127240).

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

2412955040 is a wasteful number, since it uses less digits than its factorization.

2412955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247305 (or 247297 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2412955040 is about 49121.8387278001. The cubic root of 2412955040 is about 1341.2706148013.

The spelling of 2412955040 in words is "two billion, four hundred twelve million, nine hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 247229 494458 988916 1236145 1977832 2472290 3955664 4944580 7911328 9889160 15080969 19778320 30161938 39556640 60323876 75404845 120647752 150809690 241295504 301619380 482591008 603238760 1206477520 2412955040