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2077028352 = 2123372683
BaseRepresentation
bin111101111001100…
…1111000000000000
312100202021222021000
41323303033000000
513223204401402
6542033532000
7102320310150
oct17363170000
95322258230
102077028352
11976479163
1249b714000
13271406c79
14159bca760
15c252ac1c
hex7bccf000

2077028352 has 208 divisors, whose sum is σ = 7035086080. Its totient is φ = 593215488.

The previous prime is 2077028321. The next prime is 2077028357. The reversal of 2077028352 is 2538207702.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077028357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772803 + ... + 775485.

Almost surely, 22077028352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517543040).

2077028352 is an abundant number, since it is smaller than the sum of its proper divisors (4958057728).

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

2077028352 is an equidigital number, since it uses as much as digits as its factorization.

2077028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2077028352 is about 45574.4265131225. The cubic root of 2077028352 is about 1275.8926676030.

The spelling of 2077028352 in words is "two billion, seventy-seven million, twenty-eight thousand, three hundred fifty-two".