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2872485720 = 23335131091877
BaseRepresentation
bin1010101100110110…
…1010011101011000
321102012002101122000
42223031222131120
521340324020340
61153011201000
7131116503636
oct25315523530
97365071560
102872485720
111244497045
12681ba6160
1336a1592c0
141d36d2356
1511c2a6d30
hexab36a758

2872485720 has 256 divisors, whose sum is σ = 10411632000. Its totient is φ = 700213248.

The previous prime is 2872485719. The next prime is 2872485731. The reversal of 2872485720 is 275842782.

2872485720 is a `hidden beast` number, since 2 + 8 + 72 + 4 + 8 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529422 + ... + 1531298.

Almost surely, 22872485720 is an apocalyptic number.

2872485720 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 2872485720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205816000).

2872485720 is an abundant number, since it is smaller than the sum of its proper divisors (7539146280).

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

2872485720 is a wasteful number, since it uses less digits than its factorization.

2872485720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2872485720 is about 53595.5755636601. The cubic root of 2872485720 is about 1421.5188601712.

The spelling of 2872485720 in words is "two billion, eight hundred seventy-two million, four hundred eighty-five thousand, seven hundred twenty".