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428103056 = 24315914629
BaseRepresentation
bin11001100001000…
…101010110010000
31002211112212222202
4121201011112100
51334043244211
6110251422332
713415546603
oct3141052620
91084485882
10428103056
111aa720187
12bb4549a8
136a901024
1440bdc33a
15278b553b
hex19845590

428103056 has 40 divisors (see below), whose sum is σ = 870777600. Its totient is φ = 203621760.

The previous prime is 428103031. The next prime is 428103089. The reversal of 428103056 is 650301824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21950 + ... + 36578.

It is an arithmetic number, because the mean of its divisors is an integer number (21769440).

Almost surely, 2428103056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428103056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435388800).

428103056 is an abundant number, since it is smaller than the sum of its proper divisors (442674544).

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

428103056 is a wasteful number, since it uses less digits than its factorization.

428103056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 428103056 is about 20690.6514155548. The cubic root of 428103056 is about 753.6726856684.

The spelling of 428103056 in words is "four hundred twenty-eight million, one hundred three thousand, fifty-six".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 472 496 944 1829 3658 7316 14629 14632 29258 29264 58516 117032 234064 453499 863111 906998 1726222 1813996 3452444 3627992 6904888 7255984 13809776 26756441 53512882 107025764 214051528 428103056