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2057451480 = 2332571997443
BaseRepresentation
bin111101010100010…
…0011011111011000
312022101110100211200
41322220203133120
513203201421410
6540054154200
7101662022550
oct17250433730
95271410750
102057451480
11966417827
12495052960
1326a341316
14157372160
15c09603c0
hex7aa237d8

2057451480 has 384 divisors, whose sum is σ = 8145446400. Its totient is φ = 439934976.

The previous prime is 2057451479. The next prime is 2057451521. The reversal of 2057451480 is 841547502.

2057451480 is a `hidden beast` number, since 2 + 0 + 574 + 5 + 1 + 4 + 80 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 4644139 + ... + 4644581.

It is an arithmetic number, because the mean of its divisors is an integer number (21212100).

Almost surely, 22057451480 is an apocalyptic number.

2057451480 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 2057451480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072723200).

2057451480 is an abundant number, since it is smaller than the sum of its proper divisors (6087994920).

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

2057451480 is a wasteful number, since it uses less digits than its factorization.

2057451480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2057451480 is about 45359.1388807151. The cubic root of 2057451480 is about 1271.8713973461.

Adding to 2057451480 its reverse (841547502), we get a palindrome (2898998982).

The spelling of 2057451480 in words is "two billion, fifty-seven million, four hundred fifty-one thousand, four hundred eighty".