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428218392 = 23379832593
BaseRepresentation
bin11001100001100…
…001100000011000
31002211202202012110
4121201201200120
51334110442032
6110254112320
713416540060
oct3141414030
91084682173
10428218392
111aa7998a8
12bb4ab6a0
136a941684
1440c2c3a0
15278d97cc
hex19861818

428218392 has 64 divisors (see below), whose sum is σ = 1225198080. Its totient is φ = 122176512.

The previous prime is 428218339. The next prime is 428218477. The reversal of 428218392 is 293812824.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 428218392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163848 + ... + 166440.

It is an arithmetic number, because the mean of its divisors is an integer number (19143720).

Almost surely, 2428218392 is an apocalyptic number.

428218392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428218392 is an abundant number, since it is smaller than the sum of its proper divisors (796979688).

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

428218392 is a wasteful number, since it uses less digits than its factorization.

428218392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 428218392 is about 20693.4383803176. The cubic root of 428218392 is about 753.7403623540.

The spelling of 428218392 in words is "four hundred twenty-eight million, two hundred eighteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 983 1966 2593 2949 3932 5186 5898 6881 7779 7864 10372 11796 13762 15558 18151 20643 20744 23592 27524 31116 36302 41286 54453 55048 62232 72604 82572 108906 145208 165144 217812 435624 2548919 5097838 7646757 10195676 15293514 17842433 20391352 30587028 35684866 53527299 61174056 71369732 107054598 142739464 214109196 428218392