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428262100 = 22527611803
BaseRepresentation
bin11001100001101…
…100001011010100
31002211211222011021
4121201230023110
51334113341400
6110255050524
713420111360
oct3141541324
91084758137
10428262100
111aa819722
12bb510a44
136a958536
1440c402a0
15278e771a
hex1986c2d4

428262100 has 36 divisors (see below), whose sum is σ = 1062091744. Its totient is φ = 146832480.

The previous prime is 428262091. The next prime is 428262103. The reversal of 428262100 is 1262824.

It is a happy number.

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 (428262103) 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, 305202 + ... + 306601.

Almost surely, 2428262100 is an apocalyptic number.

It is an amenable number.

428262100 is an abundant number, since it is smaller than the sum of its proper divisors (633829644).

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

428262100 is a wasteful number, since it uses less digits than its factorization.

428262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611824 (or 611817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 428262100 is about 20694.4944369269. The cubic root of 428262100 is about 753.7660060938.

The spelling of 428262100 in words is "four hundred twenty-eight million, two hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 611803 1223606 2447212 3059015 4282621 6118030 8565242 12236060 15295075 17130484 21413105 30590150 42826210 61180300 85652420 107065525 214131050 428262100