Search a number
-
+
46378224 = 2433107357
BaseRepresentation
bin1011000011101…
…0110011110000
310020021020222000
42300322303300
543333100344
64334014000
71102131324
oct260726360
9106236860
1046378224
11241a7712
1213647300
1397baa49
146233984
154111a69
hex2c3acf0

46378224 has 40 divisors (see below), whose sum is σ = 133123920. Its totient is φ = 15459264.

The previous prime is 46378223. The next prime is 46378229. The reversal of 46378224 is 42287364.

46378224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×463782242 = 4301879322788352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46378223) 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 7 ways as a sum of consecutive naturals, for example, 53247 + ... + 54110.

It is an arithmetic number, because the mean of its divisors is an integer number (3328098).

Almost surely, 246378224 is an apocalyptic number.

It is an amenable number.

46378224 is an abundant number, since it is smaller than the sum of its proper divisors (86745696).

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

46378224 is a wasteful number, since it uses less digits than its factorization.

46378224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107374 (or 107362 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 46378224 is about 6810.1559453510. The cubic root of 46378224 is about 359.2841329836.

It can be divided in two parts, 463 and 78224, that added together give a palindrome (78687).

The spelling of 46378224 in words is "forty-six million, three hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 107357 214714 322071 429428 644142 858856 966213 1288284 1717712 1932426 2576568 2898639 3864852 5153136 5797278 7729704 11594556 15459408 23189112 46378224