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425366640 = 2435521881
BaseRepresentation
bin11001010110101…
…001010001110000
31002122101212100000
4121112221101300
51332343213030
6110113030000
713353361656
oct3126512160
91078355300
10425366640
111a9121286
12ba555300
136a18364a
14406c8dd6
1527524860
hex195a9470

425366640 has 120 divisors (see below), whose sum is σ = 1481498928. Its totient is φ = 113425920.

The previous prime is 425366633. The next prime is 425366647. The reversal of 425366640 is 46663524.

It is an interprime number because it is at equal distance from previous prime (425366633) and next prime (425366647).

It is a tau number, because it is divible by the number of its divisors (120).

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 a junction number, because it is equal to n+sod(n) for n = 425366595 and 425366604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425366647) 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 23 ways as a sum of consecutive naturals, for example, 8500 + ... + 30380.

Almost surely, 2425366640 is an apocalyptic number.

425366640 is a gapful number since it is divisible by the number (40) 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 425366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740749464).

425366640 is an abundant number, since it is smaller than the sum of its proper divisors (1056132288).

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

425366640 is a wasteful number, since it uses less digits than its factorization.

425366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 425366640 is about 20624.4185372582. The cubic root of 425366640 is about 752.0634377598.

The spelling of 425366640 in words is "four hundred twenty-five million, three hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 21881 43762 65643 87524 109405 131286 175048 196929 218810 262572 328215 350096 393858 437620 525144 590787 656430 787716 875240 984645 1050288 1181574 1312860 1575432 1750480 1772361 1969290 2363148 2625720 2953935 3150864 3544722 3938580 4726296 5251440 5317083 5907870 7089444 7877160 8861805 9452592 10634166 11815740 14178888 15754320 17723610 21268332 23631480 26585415 28357776 35447220 42536664 47262960 53170830 70894440 85073328 106341660 141788880 212683320 425366640