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428121984 = 2731958679
BaseRepresentation
bin11001100001001…
…001111110000000
31002211120211221210
4121201021332000
51334044400414
6110252050120
713415656023
oct3141117600
91084524853
10428121984
111aa733424
12bb463940
136a909824
1440c051ba
15278bae59
hex19849f80

428121984 has 64 divisors (see below), whose sum is σ = 1197072000. Its totient is φ = 135194112.

The previous prime is 428121979. The next prime is 428122031. The reversal of 428121984 is 489121824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 22044 + ... + 36635.

It is an arithmetic number, because the mean of its divisors is an integer number (18704250).

Almost surely, 2428121984 is an apocalyptic number.

It is an amenable number.

428121984 is an abundant number, since it is smaller than the sum of its proper divisors (768950016).

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

428121984 is a wasteful number, since it uses less digits than its factorization.

428121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58715 (or 58703 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 428121984 is about 20691.1088151409. The cubic root of 428121984 is about 753.6837930456.

The spelling of 428121984 in words is "four hundred twenty-eight million, one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 58679 117358 176037 234716 352074 469432 704148 938864 1114901 1408296 1877728 2229802 2816592 3344703 3755456 4459604 5633184 6689406 7510912 8919208 11266368 13378812 17838416 22532736 26757624 35676832 53515248 71353664 107030496 142707328 214060992 428121984