Search a number
-
+
625054976 = 2872133833
BaseRepresentation
bin100101010000011…
…001010100000000
31121120011002020022
4211100121110000
52240003224401
6142005033012
721326610500
oct4520312400
91546132208
10625054976
112a0911067
121553b5768
139c65bb20
145d029a00
1539d1b71b
hex25419500

625054976 has 108 divisors (see below), whose sum is σ = 1563420852. Its totient is φ = 247209984.

The previous prime is 625054957. The next prime is 625055017. The reversal of 625054976 is 679450526.

It can be written as a sum of positive squares in 2 ways, for example, as 113209600 + 511845376 = 10640^2 + 22624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161156 + ... + 164988.

It is an arithmetic number, because the mean of its divisors is an integer number (14476119).

Almost surely, 2625054976 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 625054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781710426).

625054976 is an abundant number, since it is smaller than the sum of its proper divisors (938365876).

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

625054976 is a wasteful number, since it uses less digits than its factorization.

625054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 625054976 is about 25001.0994958222. The cubic root of 625054976 is about 855.0130413067.

The spelling of 625054976 in words is "six hundred twenty-five million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 3833 5096 5824 6272 7666 10192 11648 12544 15332 20384 23296 26831 30664 40768 49829 53662 61328 81536 99658 107324 122656 163072 187817 199316 214648 245312 348803 375634 398632 429296 490624 697606 751268 797264 858592 981248 1395212 1502536 1594528 1717184 2441621 2790424 3005072 3189056 3434368 4883242 5580848 6010144 6378112 6868736 9766484 11161696 12020288 12756224 19532968 22323392 24040576 39065936 44646784 48081152 78131872 89293568 156263744 312527488 625054976