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428217888 = 2537637229
BaseRepresentation
bin11001100001100…
…001011000100000
31002211202201111210
4121201201120200
51334110433023
6110254110120
713416535440
oct3141413040
91084681453
10428217888
111aa79948a
12bb4ab340
136a941387
1440c2c120
15278d9593
hex19861620

428217888 has 48 divisors (see below), whose sum is σ = 1284655680. Its totient is φ = 122347776.

The previous prime is 428217871. The next prime is 428217917. The reversal of 428217888 is 888712824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317943 + ... + 319286.

It is an arithmetic number, because the mean of its divisors is an integer number (26763660).

Almost surely, 2428217888 is an apocalyptic number.

428217888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428217888 is an abundant number, since it is smaller than the sum of its proper divisors (856437792).

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

428217888 is a wasteful number, since it uses less digits than its factorization.

428217888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637249 (or 637241 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 428217888 is about 20693.4262025407. The cubic root of 428217888 is about 753.7400666441.

The spelling of 428217888 in words is "four hundred twenty-eight million, two hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 637229 1274458 1911687 2548916 3823374 4460603 5097832 7646748 8921206 10195664 13381809 15293496 17842412 20391328 26763618 30586992 35684824 53527236 61173984 71369648 107054472 142739296 214108944 428217888