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2857074432 = 28329163787
BaseRepresentation
bin1010101001001011…
…0111111100000000
321101010002102022120
42222102313330000
521322402340212
61151301004240
7130541506032
oct25222677400
97333072276
102857074432
111236820343
126789b3680
13366bc16b4
141d163dc52
1511ac6088c
hexaa4b7f00

2857074432 has 144 divisors (see below), whose sum is σ = 7924506240. Its totient is φ = 912715776.

The previous prime is 2857074419. The next prime is 2857074503. The reversal of 2857074432 is 2344707582.

It is a happy number.

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, 3629943 + ... + 3630729.

Almost surely, 22857074432 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 2857074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962253120).

2857074432 is an abundant number, since it is smaller than the sum of its proper divisors (5067431808).

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

2857074432 is a wasteful number, since it uses less digits than its factorization.

2857074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2857074432 is about 53451.6083200496. The cubic root of 2857074432 is about 1418.9720842300.

The spelling of 2857074432 in words is "two billion, eight hundred fifty-seven million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 163 174 192 232 256 326 348 384 464 489 652 696 768 787 928 978 1304 1392 1574 1856 1956 2361 2608 2784 3148 3712 3912 4722 4727 5216 5568 6296 7424 7824 9444 9454 10432 11136 12592 14181 15648 18888 18908 20864 22272 22823 25184 28362 31296 37776 37816 41728 45646 50368 56724 62592 68469 75552 75632 91292 100736 113448 125184 128281 136938 151104 151264 182584 201472 226896 256562 273876 302208 302528 365168 384843 453792 513124 547752 604416 605056 730336 769686 907584 1026248 1095504 1210112 1460672 1539372 1815168 2052496 2191008 2921344 3078744 3630336 3720149 4104992 4382016 5842688 6157488 7440298 8209984 8764032 11160447 12314976 14880596 16419968 17528064 22320894 24629952 29761192 32839936 44641788 49259904 59522384 89283576 98519808 119044768 178567152 238089536 357134304 476179072 714268608 952358144 1428537216 2857074432