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425576448 = 21132112099
BaseRepresentation
bin11001010111011…
…100100000000000
31002122210112010200
4121113130200000
51332421421243
6110121325200
713355224443
oct3127344000
91078715120
10425576448
111a9254980
12ba636800
136a227cab
144074165a
1527566ad3
hex195dc800

425576448 has 144 divisors (see below), whose sum is σ = 1341522000. Its totient is φ = 128901120.

The previous prime is 425576423. The next prime is 425576449. The reversal of 425576448 is 844675524.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4255764482 = 362230626184593408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (425576449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201703 + ... + 203801.

It is an arithmetic number, because the mean of its divisors is an integer number (9316125).

Almost surely, 2425576448 is an apocalyptic number.

425576448 is a gapful number since it is divisible by the number (48) 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 425576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670761000).

425576448 is an abundant number, since it is smaller than the sum of its proper divisors (915945552).

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

425576448 is a wasteful number, since it uses less digits than its factorization.

425576448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2115 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 425576448 is about 20629.5043081505. The cubic root of 425576448 is about 752.1870667859.

The spelling of 425576448 in words is "four hundred twenty-five million, five hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2099 2112 2304 2816 3072 3168 4198 4224 4608 5632 6144 6297 6336 8396 8448 9216 11264 12594 12672 16792 16896 18432 18891 22528 23089 25188 25344 33584 33792 37782 46178 50376 50688 67168 67584 69267 75564 92356 100752 101376 134336 138534 151128 184712 201504 202752 207801 268672 277068 302256 369424 403008 415602 537344 554136 604512 738848 806016 831204 1074688 1108272 1209024 1477696 1612032 1662408 2149376 2216544 2418048 2955392 3224064 3324816 4298752 4433088 4836096 5910784 6448128 6649632 8866176 9672192 11821568 12896256 13299264 17732352 19344384 23643136 26598528 35464704 38688768 47286272 53197056 70929408 106394112 141858816 212788224 425576448