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427125400 = 235213164279
BaseRepresentation
bin11001011101010…
…110101010011000
31002202201012220021
4121131112222120
51333321003100
6110214440224
713404335362
oct3135265230
91082635807
10427125400
111aa1126a9
12bb063074
136a64b030
1440a25d32
1527770a1a
hex19756a98

427125400 has 48 divisors (see below), whose sum is σ = 1069462800. Its totient is φ = 157706880.

The previous prime is 427125389. The next prime is 427125403. The reversal of 427125400 is 4521724.

It is a super-2 number, since 2×4271254002 = 364872214650320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427125403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79540 + ... + 84739.

It is an arithmetic number, because the mean of its divisors is an integer number (22280475).

Almost surely, 2427125400 is an apocalyptic number.

427125400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427125400 is an abundant number, since it is smaller than the sum of its proper divisors (642337400).

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

427125400 is a wasteful number, since it uses less digits than its factorization.

427125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164308 (or 164299 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 427125400 is about 20667.0123627001. The cubic root of 427125400 is about 753.0985293406.

The spelling of 427125400 in words is "four hundred twenty-seven million, one hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 164279 328558 657116 821395 1314232 1642790 2135627 3285580 4106975 4271254 6571160 8213950 8542508 10678135 16427900 17085016 21356270 32855800 42712540 53390675 85425080 106781350 213562700 427125400