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428544924 = 2231923711151
BaseRepresentation
bin11001100010110…
…001001110011100
31002212101100010020
4121202301032130
51334201414144
6110305112140
713422400053
oct3142611634
91085340106
10428544924
111aa9a2165
12bb628650
136aa271a2
1440cb539a
1527951419
hex198b139c

428544924 has 96 divisors (see below), whose sum is σ = 1114767360. Its totient is φ = 127512000.

The previous prime is 428544917. The next prime is 428544937. The reversal of 428544924 is 429445824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371749 + ... + 372899.

It is an arithmetic number, because the mean of its divisors is an integer number (11612160).

Almost surely, 2428544924 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 428544924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

428544924 is an abundant number, since it is smaller than the sum of its proper divisors (686222436).

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

428544924 is a wasteful number, since it uses less digits than its factorization.

428544924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 428544924 is about 20701.3266241562. The cubic root of 428544924 is about 753.9318984336.

The spelling of 428544924 in words is "four hundred twenty-eight million, five hundred forty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 71 76 92 114 138 142 213 228 276 284 426 437 852 874 1151 1311 1349 1633 1748 2302 2622 2698 3266 3453 4047 4604 4899 5244 5396 6532 6906 8094 9798 13812 16188 19596 21869 26473 31027 43738 52946 62054 65607 79419 81721 87476 93081 105892 124108 131214 158838 163442 186162 245163 262428 317676 326884 372324 490326 502987 980652 1005974 1508961 1552699 1879583 2011948 3017922 3105398 3759166 4658097 5638749 6035844 6210796 7518332 9316194 11277498 18632388 22554996 35712077 71424154 107136231 142848308 214272462 428544924