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425556648 = 2332111731607
BaseRepresentation
bin11001010111010…
…111101010101000
31002122202111222100
4121113113222220
51332420303043
6110121053400
713355112636
oct3127275250
91078674870
10425556648
111a9241010
12ba627260
136a21bc8a
1440738356
1527560cd3
hex195d7aa8

425556648 has 96 divisors (see below), whose sum is σ = 1331328960. Its totient is φ = 121367040.

The previous prime is 425556641. The next prime is 425556653. The reversal of 425556648 is 846655524.

425556648 is a `hidden beast` number, since 42 + 5 + 5 + 566 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (425556641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2340 + ... + 29267.

It is an arithmetic number, because the mean of its divisors is an integer number (13868010).

Almost surely, 2425556648 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 425556648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665664480).

425556648 is an abundant number, since it is smaller than the sum of its proper divisors (905772312).

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

425556648 is a wasteful number, since it uses less digits than its factorization.

425556648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31647 (or 31640 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 425556648 is about 20629.0244073732. The cubic root of 425556648 is about 752.1754014043.

The spelling of 425556648 in words is "four hundred twenty-five million, five hundred fifty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 31607 63214 94821 126428 189642 252856 284463 347677 379284 537319 568926 695354 758568 1043031 1074638 1137852 1390708 1611957 2086062 2149276 2275704 2781416 3129093 3223914 4172124 4298552 4835871 5910509 6258186 6447828 8344248 9671742 11821018 12516372 12895656 17731527 19343484 23642036 25032744 35463054 38686968 47284072 53194581 70926108 106389162 141852216 212778324 425556648