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284955996 = 2231319127757
BaseRepresentation
bin10000111111000…
…001010101011100
3201212012021010210
4100333001111130
51040422042441
644135332420
710030041333
oct2077012534
9655167123
10284955996
11136939726
127b521110
1347061420
1429bb8d1a
151a03b616
hex10fc155c

284955996 has 96 divisors (see below), whose sum is σ = 760668160. Its totient is φ = 82301184.

The previous prime is 284955967. The next prime is 284955997. The reversal of 284955996 is 699559482.

284955996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284955997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376050 + ... + 376806.

Almost surely, 2284955996 is an apocalyptic number.

284955996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284955996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380334080).

284955996 is an abundant number, since it is smaller than the sum of its proper divisors (475712164).

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

284955996 is a wasteful number, since it uses less digits than its factorization.

284955996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 57.

The square root of 284955996 is about 16880.6396798226. The cubic root of 284955996 is about 658.0505653685.

The spelling of 284955996 in words is "two hundred eighty-four million, nine hundred fifty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 127 156 228 247 254 381 494 508 741 757 762 988 1482 1514 1524 1651 2271 2413 2964 3028 3302 4542 4826 4953 6604 7239 9084 9652 9841 9906 14383 14478 19682 19812 28766 28956 29523 31369 39364 43149 57532 59046 62738 86298 94107 96139 118092 125476 172596 186979 188214 192278 288417 373958 376428 384556 560937 576834 747916 1121874 1153668 1249807 1826641 2243748 2499614 3653282 3749421 4999228 5479923 7306564 7498842 10959846 14997684 21919692 23746333 47492666 71238999 94985332 142477998 284955996