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42954948 = 2234233569
BaseRepresentation
bin1010001111011…
…1000011000100
32222211100010000
42203313003010
541444024243
64132401300
71031053041
oct243670304
988740100
1042954948
1122279763
1212476230
138b8c83a
1459c21c8
153b875d3
hex28f70c4

42954948 has 60 divisors (see below), whose sum is σ = 112972860. Its totient is φ = 14231808.

The previous prime is 42954943. The next prime is 42954949. The reversal of 42954948 is 84945924.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 35070084 = 2808^2 + 5922^2 .

It is not an unprimeable number, because it can be changed into a prime (42954943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75208 + ... + 75776.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 242954948 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 42954948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56486430).

42954948 is an abundant number, since it is smaller than the sum of its proper divisors (70017912).

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

42954948 is a wasteful number, since it uses less digits than its factorization.

42954948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42954948 is about 6554.0024412568. The cubic root of 42954948 is about 350.2174105008.

The spelling of 42954948 in words is "forty-two million, nine hundred fifty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 324 466 569 699 932 1138 1398 1707 2097 2276 2796 3414 4194 5121 6291 6828 8388 10242 12582 15363 18873 20484 25164 30726 37746 46089 61452 75492 92178 132577 184356 265154 397731 530308 795462 1193193 1590924 2386386 3579579 4772772 7159158 10738737 14318316 21477474 42954948