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428487400 = 235211194767
BaseRepresentation
bin11001100010100…
…011001011101000
31002212021102012201
4121202203023220
51334143044100
6110303545544
713422040255
oct3142431350
91085242181
10428487400
111aa962a20
12bb5bb2b4
136aa06c53
1440c9c42c
152793e36a
hex198a32e8

428487400 has 48 divisors (see below), whose sum is σ = 1086805440. Its totient is φ = 155812800.

The previous prime is 428487361. The next prime is 428487407. The reversal of 428487400 is 4784824.

It is a self number, because there is not a number n which added to its sum of digits gives 428487400.

It is not an unprimeable number, because it can be changed into a prime (428487407) 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 11 ways as a sum of consecutive naturals, for example, 95184 + ... + 99583.

It is an arithmetic number, because the mean of its divisors is an integer number (22641780).

Almost surely, 2428487400 is an apocalyptic number.

428487400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428487400 is an abundant number, since it is smaller than the sum of its proper divisors (658318040).

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

428487400 is a wasteful number, since it uses less digits than its factorization.

428487400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194794 (or 194785 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 428487400 is about 20699.9371979724. The cubic root of 428487400 is about 753.8981632546.

The spelling of 428487400 in words is "four hundred twenty-eight million, four hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 194767 389534 779068 973835 1558136 1947670 2142437 3895340 4284874 4869175 7790680 8569748 9738350 10712185 17139496 19476700 21424370 38953400 42848740 53560925 85697480 107121850 214243700 428487400