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2780291052 = 22327112194799
BaseRepresentation
bin1010010110110111…
…1101111111101100
321011202121102022200
42211231331333230
521143223303202
61135515141500
7125620040550
oct24555757754
97152542280
102780291052
1111a7446900
12657144890
13354019446
141c5373860
15114144e1c
hexa5b7dfec

2780291052 has 216 divisors, whose sum is σ = 9295104000. Its totient is φ = 684002880.

The previous prime is 2780291039. The next prime is 2780291069. The reversal of 2780291052 is 2501920872.

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

It is a junction number, because it is equal to n+sod(n) for n = 2780290998 and 2780291016.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576949 + ... + 581747.

Almost surely, 22780291052 is an apocalyptic number.

2780291052 is a gapful number since it is divisible by the number (22) 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 2780291052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647552000).

2780291052 is an abundant number, since it is smaller than the sum of its proper divisors (6514812948).

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

2780291052 is a wasteful number, since it uses less digits than its factorization.

2780291052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4857 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2780291052 is about 52728.4652915292. The cubic root of 2780291052 is about 1406.1449365537.

The spelling of 2780291052 in words is "two billion, seven hundred eighty million, two hundred ninety-one thousand, fifty-two".