Search a number
-
+
46602136 = 2372196257
BaseRepresentation
bin1011000111000…
…1011110011000
310020200122010001
42301301132120
543412232021
64342502344
71104053200
oct261613630
9106618101
1046602136
112433a969
12137349b4
139868939
146291400
154158091
hex2c71798

46602136 has 48 divisors (see below), whose sum is σ = 107011800. Its totient is φ = 18918144.

The previous prime is 46602133. The next prime is 46602137. The reversal of 46602136 is 63120664.

46602136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46602131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4320 + ... + 10576.

Almost surely, 246602136 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 46602136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53505900).

46602136 is an abundant number, since it is smaller than the sum of its proper divisors (60409664).

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

46602136 is a wasteful number, since it uses less digits than its factorization.

46602136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6285 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 46602136 is about 6826.5757155400. The cubic root of 46602136 is about 359.8614075570.

The spelling of 46602136 in words is "forty-six million, six hundred two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 6257 7448 12514 25028 43799 50056 87598 118883 175196 237766 306593 350392 475532 613186 832181 951064 1226372 1664362 2452744 3328724 5825267 6657448 11650534 23301068 46602136