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424470400 = 2752132647
BaseRepresentation
bin11001010011001…
…110011110000000
31002120201022220221
4121103032132000
51332131023100
6110041512424
713342640014
oct3123163600
91076638827
10424470400
111a8669992
12ba1a2714
1369c2b723
1440534544
15273e901a
hex194ce780

424470400 has 48 divisors (see below), whose sum is σ = 1048582440. Its totient is φ = 169786880.

The previous prime is 424470379. The next prime is 424470407. The reversal of 424470400 is 4074424.

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 (424470407) 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 5 ways as a sum of consecutive naturals, for example, 63124 + ... + 69523.

Almost surely, 2424470400 is an apocalyptic number.

424470400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424470400 is an abundant number, since it is smaller than the sum of its proper divisors (624112040).

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

424470400 is a wasteful number, since it uses less digits than its factorization.

424470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132671 (or 132654 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 424470400 is about 20602.6794373936. The cubic root of 424470400 is about 751.5348715644.

The spelling of 424470400 in words is "four hundred twenty-four million, four hundred seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 132647 265294 530588 663235 1061176 1326470 2122352 2652940 3316175 4244704 5305880 6632350 8489408 10611760 13264700 16978816 21223520 26529400 42447040 53058800 84894080 106117600 212235200 424470400