Search a number
-
+
46408224 = 2532292111
BaseRepresentation
bin1011000100001…
…0001000100000
310020022210010010
42301002020200
543340030344
64334404520
71102314642
oct261021040
9106283103
1046408224
1124218205
1213660740
1397cb5b5
146240892
15411a8b9
hex2c42220

46408224 has 48 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 15394560.

The previous prime is 46408211. The next prime is 46408247. The reversal of 46408224 is 42280464.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 46408191 and 46408200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20929 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 246408224 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 46408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61205760).

46408224 is an abundant number, since it is smaller than the sum of its proper divisors (76003296).

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

46408224 is a wasteful number, since it uses less digits than its factorization.

46408224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 46408224 is about 6812.3581820101. The cubic root of 46408224 is about 359.3615845679.

Adding to 46408224 its reverse (42280464), we get a palindrome (88688688).

The spelling of 46408224 in words is "forty-six million, four hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2111 2748 3664 4222 5496 6333 7328 8444 10992 12666 16888 21984 25332 33776 50664 67552 101328 202656 483419 966838 1450257 1933676 2900514 3867352 5801028 7734704 11602056 15469408 23204112 46408224