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2984254640 = 24558816343
BaseRepresentation
bin1011000111100000…
…0001110010110000
321200222101211202122
42301320001302300
522102432122030
61212042533412
7133644513563
oct26170016260
97628354678
102984254640
1112a1596754
126b3507268
13387360863
142044a84da
15126ed38e5
hexb1e01cb0

2984254640 has 40 divisors (see below), whose sum is σ = 6940665888. Its totient is φ = 1193310720.

The previous prime is 2984254631. The next prime is 2984254643. The reversal of 2984254640 is 464524892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2984254591 and 2984254600.

It is not an unprimeable number, because it can be changed into a prime (2984254643) 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 7 ways as a sum of consecutive naturals, for example, 467309 + ... + 473651.

Almost surely, 22984254640 is an apocalyptic number.

2984254640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2984254640 is an abundant number, since it is smaller than the sum of its proper divisors (3956411248).

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

2984254640 is a wasteful number, since it uses less digits than its factorization.

2984254640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12237 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 2984254640 is about 54628.3318434675. The cubic root of 2984254640 is about 1439.7219499155.

The spelling of 2984254640 in words is "two billion, nine hundred eighty-four million, two hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5881 6343 11762 12686 23524 25372 29405 31715 47048 50744 58810 63430 94096 101488 117620 126860 235240 253720 470480 507440 37303183 74606366 149212732 186515915 298425464 373031830 596850928 746063660 1492127320 2984254640