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2083457376 = 253471121373
BaseRepresentation
bin111110000101111…
…0000100101100000
312101012101121020000
41330023300211200
513231331114001
6542423420000
7102426044520
oct17413604540
95335347200
102083457376
1197a06a400
124a18b4600
13272848320
1415a9c1680
15c2d9aa86
hex7c2f0960

2083457376 has 720 divisors, whose sum is σ = 8402863392. Its totient is φ = 492687360.

The previous prime is 2083457351. The next prime is 2083457413. The reversal of 2083457376 is 6737543802.

2083457376 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 4 + 573 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28540476 + ... + 28540548.

Almost surely, 22083457376 is an apocalyptic number.

2083457376 is a gapful number since it is divisible by the number (26) 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 2083457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201431696).

2083457376 is an abundant number, since it is smaller than the sum of its proper divisors (6319406016).

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

2083457376 is a wasteful number, since it uses less digits than its factorization.

2083457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2083457376 is about 45644.9052578708. The cubic root of 2083457376 is about 1277.2077348370.

It can be divided in two parts, 20834 and 57376, that added together give a triangular number (78210 = T395).

The spelling of 2083457376 in words is "two billion, eighty-three million, four hundred fifty-seven thousand, three hundred seventy-six".