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425093184 = 2634431907
BaseRepresentation
bin11001010101100…
…110100001000000
31002121212222020000
4121111212201000
51332310440214
6110103120000
713351142505
oct3125464100
91077788200
10425093184
111a8a5488a
12ba443000
136a0b9039
14406574ac
15274bd809
hex19566840

425093184 has 140 divisors (see below), whose sum is σ = 1290090384. Its totient is φ = 138329856.

The previous prime is 425093167. The next prime is 425093189. The reversal of 425093184 is 481390524.

425093184 is a `hidden beast` number, since 42 + 509 + 31 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (425093189) 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 19 ways as a sum of consecutive naturals, for example, 221959 + ... + 223865.

Almost surely, 2425093184 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 425093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645045192).

425093184 is an abundant number, since it is smaller than the sum of its proper divisors (864997200).

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

425093184 is a wasteful number, since it uses less digits than its factorization.

425093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 425093184 is about 20617.7880481879. The cubic root of 425093184 is about 751.9022432153.

The spelling of 425093184 in words is "four hundred twenty-five million, ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1296 1376 1548 1728 1907 2064 2322 2592 2752 3096 3483 3814 4128 4644 5184 5721 6192 6966 7628 8256 9288 11442 12384 13932 15256 17163 18576 22884 24768 27864 30512 34326 37152 45768 51489 55728 61024 68652 74304 82001 91536 102978 111456 122048 137304 154467 164002 183072 205956 222912 246003 274608 308934 328004 366144 411912 492006 549216 617868 656008 738009 823824 984012 1098432 1235736 1312016 1476018 1647648 1968024 2214027 2471472 2624032 2952036 3295296 3936048 4428054 4942944 5248064 5904072 6642081 7872096 8856108 9885888 11808144 13284162 15744192 17712216 23616288 26568324 35424432 47232576 53136648 70848864 106273296 141697728 212546592 425093184