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42895944 = 23327136547
BaseRepresentation
bin1010001110100…
…0101001001000
32222201100011200
42203220221020
541440132234
64131224200
71030416030
oct243505110
988640150
1042895944
11222393a3
1212448060
138b6ba20
1459a88c0
153b74d99
hex28e8a48

42895944 has 96 divisors (see below), whose sum is σ = 143008320. Its totient is φ = 11311488.

The previous prime is 42895927. The next prime is 42895949. The reversal of 42895944 is 44959824.

It is a super-2 number, since 2×428959442 = 3680124023302272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42895944.

It is not an unprimeable number, because it can be changed into a prime (42895949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3279 + ... + 9825.

It is an arithmetic number, because the mean of its divisors is an integer number (1489670).

Almost surely, 242895944 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 42895944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71504160).

42895944 is an abundant number, since it is smaller than the sum of its proper divisors (100112376).

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

42895944 is a wasteful number, since it uses less digits than its factorization.

42895944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6579 (or 6572 counting only the distinct ones).

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

The square root of 42895944 is about 6549.4995228643. The cubic root of 42895944 is about 350.0569811990.

The spelling of 42895944 in words is "forty-two million, eight hundred ninety-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6547 6552 13094 19641 26188 39282 45829 52376 58923 78564 85111 91658 117846 137487 157128 170222 183316 235692 255333 274974 340444 366632 412461 471384 510666 549948 595777 680888 765999 824922 1021332 1099896 1191554 1531998 1649844 1787331 2042664 2383108 3063996 3299688 3574662 4766216 5361993 6127992 7149324 10723986 14298648 21447972 42895944