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284908148 = 2273281739
BaseRepresentation
bin10000111110110…
…101101001110100
3201212002211111122
4100332311221310
51040414030043
644134323112
710026452000
oct2076655164
9655084448
10284908148
11136906788
127b4b9498
1347045705
1429ba5700
151a02c368
hex10fb5a74

284908148 has 48 divisors (see below), whose sum is σ = 584304000. Its totient is φ = 121504320.

The previous prime is 284908147. The next prime is 284908157. The reversal of 284908148 is 841809482.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 284908099 and 284908108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284908147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385163 + ... + 385901.

It is an arithmetic number, because the mean of its divisors is an integer number (12173000).

Almost surely, 2284908148 is an apocalyptic number.

284908148 is a gapful number since it is divisible by the number (28) 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 284908148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292152000).

284908148 is an abundant number, since it is smaller than the sum of its proper divisors (299395852).

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

284908148 is a wasteful number, since it uses less digits than its factorization.

284908148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 284908148 is about 16879.2223754532. Note that the first 3 decimals coincide. The cubic root of 284908148 is about 658.0137314171.

The spelling of 284908148 in words is "two hundred eighty-four million, nine hundred eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 281 343 562 686 739 1124 1372 1478 1967 2956 3934 5173 7868 10346 13769 20692 27538 36211 55076 72422 96383 144844 192766 207659 253477 385532 415318 506954 830636 1013908 1453613 2907226 5814452 10175291 20350582 40701164 71227037 142454074 284908148