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427180400 = 24521067951
BaseRepresentation
bin11001011101100…
…100000101110000
31002202211000100022
4121131210011300
51333324233100
6110215543012
713404654623
oct3135440560
91082730308
10427180400
111aa14aa59
12bb08aa68
136a66a08a
1440a3bdba
1527781e85
hex19764170

427180400 has 30 divisors (see below), whose sum is σ = 1026301872. Its totient is φ = 170872000.

The previous prime is 427180393. The next prime is 427180417. The reversal of 427180400 is 4081724.

It is a self number, because there is not a number n which added to its sum of digits gives 427180400.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 533576 + ... + 534375.

Almost surely, 2427180400 is an apocalyptic number.

427180400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427180400 is an abundant number, since it is smaller than the sum of its proper divisors (599121472).

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

427180400 is a wasteful number, since it uses less digits than its factorization.

427180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067969 (or 1067958 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 427180400 is about 20668.3429427712. The cubic root of 427180400 is about 753.1308529013.

The spelling of 427180400 in words is "four hundred twenty-seven million, one hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1067951 2135902 4271804 5339755 8543608 10679510 17087216 21359020 26698775 42718040 53397550 85436080 106795100 213590200 427180400