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283038048 = 25326116111
BaseRepresentation
bin10000110111101…
…101000101100000
3201201120211012200
4100313231011200
51034424204143
644030253200
710004532546
oct2067550540
9651524180
10283038048
11135849747
127a957200
134683c447
1429839d96
1519cad1d3
hex10ded160

283038048 has 72 divisors (see below), whose sum is σ = 818135136. Its totient is φ = 92793600.

The previous prime is 283038031. The next prime is 283038053. The reversal of 283038048 is 840830382.

It is a happy number.

283038048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2830380482 = 160221073231300608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9513 + ... + 25623.

It is an arithmetic number, because the mean of its divisors is an integer number (11362988).

Almost surely, 2283038048 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 283038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409067568).

283038048 is an abundant number, since it is smaller than the sum of its proper divisors (535097088).

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

283038048 is a wasteful number, since it uses less digits than its factorization.

283038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 283038048 is about 16823.7346626723. The cubic root of 283038048 is about 656.5708643711.

The spelling of 283038048 in words is "two hundred eighty-three million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 16111 17568 32222 48333 64444 96666 128888 144999 193332 257776 289998 386664 515552 579996 773328 982771 1159992 1546656 1965542 2319984 2948313 3931084 4639968 5896626 7862168 8844939 11793252 15724336 17689878 23586504 31448672 35379756 47173008 70759512 94346016 141519024 283038048