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1625680448 = 2672539781
BaseRepresentation
bin110000011100101…
…1110101001000000
311012022000010022222
41200321132221000
511312133233243
6425151550212
755200025100
oct14071365100
94168003288
101625680448
11764721867
1239452b368
131cba578c2
14115c9b200
1597ac3168
hex60e5ea40

1625680448 has 84 divisors (see below), whose sum is σ = 3823842492. Its totient is φ = 683504640.

The previous prime is 1625680447. The next prime is 1625680453. The reversal of 1625680448 is 8440865261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 941753344 + 683927104 = 30688^2 + 26152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1625680399 and 1625680408.

It is not an unprimeable number, because it can be changed into a prime (1625680447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161318 + ... + 171098.

Almost surely, 21625680448 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 1625680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911921246).

1625680448 is an abundant number, since it is smaller than the sum of its proper divisors (2198162044).

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

1625680448 is an equidigital number, since it uses as much as digits as its factorization.

1625680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 1625680448 is about 40319.7277768588. The cubic root of 1625680448 is about 1175.8314195236.

The spelling of 1625680448 in words is "one billion, six hundred twenty-five million, six hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 196 212 224 371 392 424 448 742 784 848 1484 1568 1696 2597 2968 3136 3392 5194 5936 9781 10388 11872 19562 20776 23744 39124 41552 68467 78248 83104 136934 156496 166208 273868 312992 479269 518393 547736 625984 958538 1036786 1095472 1917076 2073572 2190944 3628751 3834152 4147144 4381888 7257502 7668304 8294288 14515004 15336608 16588576 25401257 29030008 30673216 33177152 50802514 58060016 101605028 116120032 203210056 232240064 406420112 812840224 1625680448