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1025750656 = 2772514561
BaseRepresentation
bin111101001000111…
…011011010000000
32122111010112101001
4331020323122000
54100043010111
6245441221344
734263510460
oct7510733200
92574115331
101025750656
11487011717
12247631854
13134684c68
149a331ba0
15600bb1c1
hex3d23b680

1025750656 has 64 divisors (see below), whose sum is σ = 2345232960. Its totient is φ = 437760000.

The previous prime is 1025750651. The next prime is 1025750659. The reversal of 1025750656 is 6560575201.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1025750651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222616 + ... + 227176.

It is an arithmetic number, because the mean of its divisors is an integer number (36644265).

Almost surely, 21025750656 is an apocalyptic number.

1025750656 is a gapful number since it is divisible by the number (16) 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 1025750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172616480).

1025750656 is an abundant number, since it is smaller than the sum of its proper divisors (1319482304).

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

1025750656 is an equidigital number, since it uses as much as digits as its factorization.

1025750656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 1025750656 is about 32027.3423187126. The cubic root of 1025750656 is about 1008.5109108980.

The spelling of 1025750656 in words is "one billion, twenty-five million, seven hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 448 502 896 1004 1757 2008 3514 4016 4561 7028 8032 9122 14056 16064 18244 28112 31927 32128 36488 56224 63854 72976 112448 127708 145952 224896 255416 291904 510832 583808 1021664 1144811 2043328 2289622 4086656 4579244 8013677 9158488 16027354 18316976 32054708 36633952 64109416 73267904 128218832 146535808 256437664 512875328 1025750656