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4057064025 = 35273179277
BaseRepresentation
bin1111000111010001…
…1110001001011001
3101110202002012120120
43301310132021121
531302102022100
61510324543453
7202352322000
oct36164361131
911422065516
104057064025
1117a211a283
12952851b89
134c86b1201
142a6b69c37
1518b2980a0
hexf1d1e259

4057064025 has 96 divisors (see below), whose sum is σ = 8283398400. Its totient is φ = 1745372160.

The previous prime is 4057064009. The next prime is 4057064041. The reversal of 4057064025 is 5204607504.

It is an interprime number because it is at equal distance from previous prime (4057064009) and next prime (4057064041).

It is not a de Polignac number, because 4057064025 - 24 = 4057064009 is a prime.

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, 432687 + ... + 441963.

It is an arithmetic number, because the mean of its divisors is an integer number (86285400).

Almost surely, 24057064025 is an apocalyptic number.

It is an amenable number.

4057064025 is an abundant number, since it is smaller than the sum of its proper divisors (4226334375).

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

4057064025 is a wasteful number, since it uses less digits than its factorization.

4057064025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 4057064025 is about 63695.0863489485. The cubic root of 4057064025 is about 1594.9140619899.

The spelling of 4057064025 in words is "four billion, fifty-seven million, sixty-four thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 343 357 425 525 595 735 833 1029 1225 1275 1715 1785 2499 2975 3675 4165 5145 5831 8575 8925 9277 12495 17493 20825 25725 27831 29155 46385 62475 64939 87465 139155 145775 157709 194817 231925 324695 437325 454573 473127 695775 788545 974085 1103963 1363719 1623475 2272865 2365635 3182011 3311889 3942725 4870425 5519815 6818595 7727741 9546033 11364325 11828175 15910055 16559445 23183223 27599075 34092975 38638705 47730165 54094187 79550275 82797225 115916115 162282561 193193525 238650825 270470935 579580575 811412805 1352354675 4057064025