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1025399664 = 243213951229
BaseRepresentation
bin111101000111100…
…101101101110000
32122110110200220100
4331013211231300
54100000242124
6245425512400
734260516252
oct7507455560
92573420810
101025399664
114868a1a43
122474a2700
13134591283
149a27dcd2
156004c1c9
hex3d1e5b70

1025399664 has 60 divisors (see below), whose sum is σ = 2890396600. Its totient is φ = 339334272.

The previous prime is 1025399663. The next prime is 1025399677. The reversal of 1025399664 is 4669935201.

1025399664 is a `hidden beast` number, since 102 + 539 + 9 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025399663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5599 + ... + 45630.

Almost surely, 21025399664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025399664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445198300).

1025399664 is an abundant number, since it is smaller than the sum of its proper divisors (1864996936).

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

1025399664 is a wasteful number, since it uses less digits than its factorization.

1025399664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51382 (or 51373 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1025399664 is about 32021.8622818849. The cubic root of 1025399664 is about 1008.3958668107.

It can be divided in two parts, 1025 and 399664, that added together give a square (400689 = 6332).

The spelling of 1025399664 in words is "one billion, twenty-five million, three hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 51229 102458 153687 204916 307374 409832 461061 614748 819664 922122 1229496 1844244 2458992 3688488 7120831 7376976 14241662 21362493 28483324 42724986 56966648 64087479 85449972 113933296 128174958 170899944 256349916 341799888 512699832 1025399664