Search a number
-
+
42836904 = 2333113149
BaseRepresentation
bin1010001101101…
…0001110101000
32222121100012000
42203122032220
541431240104
64130051000
71030051635
oct243321650
988540160
1042836904
11221a9000
1212419a60
138b4aba6
14599118c
153b62639
hex28da3a8

42836904 has 128 divisors (see below), whose sum is σ = 131760000. Its totient is φ = 12893760.

The previous prime is 42836897. The next prime is 42836909. The reversal of 42836904 is 40963824.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (42836909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287422 + ... + 287570.

It is an arithmetic number, because the mean of its divisors is an integer number (1029375).

Almost surely, 242836904 is an apocalyptic number.

42836904 is a gapful number since it is divisible by the number (44) 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 42836904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880000).

42836904 is an abundant number, since it is smaller than the sum of its proper divisors (88923096).

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

42836904 is a wasteful number, since it uses less digits than its factorization.

42836904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42836904 is about 6544.9907562960. The cubic root of 42836904 is about 349.8963066971.

Subtracting from 42836904 its reverse (40963824), we obtain a triangular number (1873080 = T1935).

The spelling of 42836904 in words is "forty-two million, eight hundred thirty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 149 198 216 242 264 297 298 363 396 447 484 594 596 726 792 894 968 1089 1188 1192 1331 1341 1452 1639 1788 2178 2376 2662 2682 2904 3267 3278 3576 3993 4023 4356 4917 5324 5364 6534 6556 7986 8046 8712 9834 10648 10728 11979 13068 13112 14751 15972 16092 18029 19668 23958 26136 29502 31944 32184 35937 36058 39336 44253 47916 54087 59004 71874 72116 88506 95832 108174 118008 143748 144232 162261 177012 198319 216348 287496 324522 354024 396638 432696 486783 594957 649044 793276 973566 1189914 1298088 1586552 1784871 1947132 2379828 3569742 3894264 4759656 5354613 7139484 10709226 14278968 21418452 42836904