Search a number
-
+
36474438 = 23711136073
BaseRepresentation
bin1000101100100…
…0111001000110
32112122002112010
42023020321012
533314140223
63341435050
7622012320
oct213107106
975562463
1036474438
1119652870
121026ba86
137730c10
144bb6610
153307393
hex22c8e46

36474438 has 64 divisors (see below), whose sum is σ = 97961472. Its totient is φ = 8743680.

The previous prime is 36474437. The next prime is 36474443. The reversal of 36474438 is 83447463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 36474396 and 36474405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36474437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2970 + ... + 9042.

It is an arithmetic number, because the mean of its divisors is an integer number (1530648).

Almost surely, 236474438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36474438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48980736).

36474438 is an abundant number, since it is smaller than the sum of its proper divisors (61487034).

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

36474438 is a wasteful number, since it uses less digits than its factorization.

36474438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109.

The product of its digits is 193536, while the sum is 39.

The square root of 36474438 is about 6039.4070901041. The cubic root of 36474438 is about 331.6369173870.

It can be divided in two parts, 36 and 474438, that added together give a palindrome (474474).

The spelling of 36474438 in words is "thirty-six million, four hundred seventy-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 6073 12146 18219 36438 42511 66803 78949 85022 127533 133606 157898 200409 236847 255066 400818 467621 473694 552643 868439 935242 1105286 1402863 1657929 1736878 2605317 2805726 3315858 5210634 6079073 12158146 18237219 36474438