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425570400 = 25325259107
BaseRepresentation
bin11001010111011…
…011000001100000
31002122210012211200
4121113123001200
51332421223100
6110121241200
713355201013
oct3127330140
91078705750
10425570400
111a9250382
12ba633200
136a225308
144073d37a
1527564e00
hex195db060

425570400 has 108 divisors (see below), whose sum is σ = 1500693012. Its totient is φ = 113483520.

The previous prime is 425570371. The next prime is 425570407. The reversal of 425570400 is 4075524.

425570400 is a `hidden beast` number, since 4 + 255 + 7 + 0 + 400 = 666.

It is a super-2 number, since 2×4255704002 = 362220330712320000, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425570407) 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 17 ways as a sum of consecutive naturals, for example, 22354 + ... + 36753.

Almost surely, 2425570400 is an apocalyptic number.

425570400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425570400 is an abundant number, since it is smaller than the sum of its proper divisors (1075122612).

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

425570400 is a wasteful number, since it uses less digits than its factorization.

425570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59133 (or 59117 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 425570400 is about 20629.3577214609. The cubic root of 425570400 is about 752.1835035804.

The spelling of 425570400 in words is "four hundred twenty-five million, five hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 59107 118214 177321 236428 295535 354642 472856 531963 591070 709284 886605 945712 1063926 1182140 1418568 1477675 1773210 1891424 2127852 2364280 2659815 2837136 2955350 3546420 4255704 4433025 4728560 5319630 5674272 5910700 7092840 8511408 8866050 9457120 10639260 11821400 13299075 14185680 17022816 17732100 21278520 23642800 26598150 28371360 35464200 42557040 47285600 53196300 70928400 85114080 106392600 141856800 212785200 425570400