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2058992544 = 253724767139
BaseRepresentation
bin111101010111001…
…1011101110100000
312022111100122210010
41322232123232200
513204100230134
6540151204520
7102011101500
oct17256335640
95274318703
102058992544
1196727a634
12495676740
1326a7608ab
14157653a00
15c0b66ce9
hex7ab9bba0

2058992544 has 288 divisors, whose sum is σ = 6563773440. Its totient is φ = 563092992.

The previous prime is 2058992527. The next prime is 2058992567. The reversal of 2058992544 is 4452998502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2058992493 and 2058992502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14812827 + ... + 14812965.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880).

Almost surely, 22058992544 is an apocalyptic number.

2058992544 is a gapful number since it is divisible by the number (24) 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 2058992544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281886720).

2058992544 is an abundant number, since it is smaller than the sum of its proper divisors (4504780896).

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

2058992544 is a wasteful number, since it uses less digits than its factorization.

2058992544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 2058992544 is about 45376.1230604819. The cubic root of 2058992544 is about 1272.1888687550.

The spelling of 2058992544 in words is "two billion, fifty-eight million, nine hundred ninety-two thousand, five hundred forty-four".