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2850036480 = 283251929449
BaseRepresentation
bin1010100111100000…
…0001101100000000
321100121211212001200
42221320001230000
521314102131410
61150450101200
7130424624154
oct25170015400
97317755050
102850036480
111232853655
1267657a800
133655c9125
141d072b064
1511a3203c0
hexa9e01b00

2850036480 has 432 divisors, whose sum is σ = 10761660000. Its totient is φ = 693633024.

The previous prime is 2850036473. The next prime is 2850036493. The reversal of 2850036480 is 846300582.

2850036480 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 0 + 3 + 648 + 0 = 666.

It is a super-3 number, since 3×28500364803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347296 + ... + 6347744.

It is an arithmetic number, because the mean of its divisors is an integer number (24911250).

Almost surely, 22850036480 is an apocalyptic number.

2850036480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2850036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380830000).

2850036480 is an abundant number, since it is smaller than the sum of its proper divisors (7911623520).

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

2850036480 is a wasteful number, since it uses less digits than its factorization.

2850036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2850036480 is about 53385.7329255673. The cubic root of 2850036480 is about 1417.8059882716.

It can be divided in two parts, 28500 and 36480, that added together give a triangular number (64980 = T360).

The spelling of 2850036480 in words is "two billion, eight hundred fifty million, thirty-six thousand, four hundred eighty".