Search a number
-
+
42798672 = 2433714153
BaseRepresentation
bin1010001101000…
…0111001010000
32222112101202000
42203100321100
541424024142
64125154000
71026532320
oct243207120
988471660
1042798672
1122182304
12123bb900
138b36677
145981280
153b5614c
hex28d0e50

42798672 has 80 divisors (see below), whose sum is σ = 140407680. Its totient is φ = 12227328.

The previous prime is 42798661. The next prime is 42798689. The reversal of 42798672 is 27689724.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4053 + ... + 10100.

It is an arithmetic number, because the mean of its divisors is an integer number (1755096).

Almost surely, 242798672 is an apocalyptic number.

42798672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42798672 is an abundant number, since it is smaller than the sum of its proper divisors (97609008).

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

42798672 is a wasteful number, since it uses less digits than its factorization.

42798672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14177 (or 14165 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 42798672 is about 6542.0693973696. The cubic root of 42798672 is about 349.7921813904.

It can be divided in two parts, 427 and 98672, that added together give a palindrome (99099).

The spelling of 42798672 in words is "forty-two million, seven hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 14153 28306 42459 56612 84918 99071 113224 127377 169836 198142 226448 254754 297213 339672 382131 396284 509508 594426 679344 764262 792568 891639 1019016 1188852 1528524 1585136 1783278 2038032 2377704 2674917 3057048 3566556 4755408 5349834 6114096 7133112 10699668 14266224 21399336 42798672