Search a number
-
+
45706248 = 23337193743
BaseRepresentation
bin1010111001011…
…0110000001000
310012000010012000
42232112300020
543200044443
64311351000
71063332240
oct256266010
9105003160
1045706248
1123888865
1213382460
139613c23
1460dab20
15402c8d3
hex2b96c08

45706248 has 256 divisors, whose sum is σ = 160512000. Its totient is φ = 11757312.

The previous prime is 45706201. The next prime is 45706253. The reversal of 45706248 is 84260754.

It is a super-2 number, since 2×457062482 = 4178122212475008, 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1062915 + ... + 1062957.

It is an arithmetic number, because the mean of its divisors is an integer number (627000).

Almost surely, 245706248 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 45706248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80256000).

45706248 is an abundant number, since it is smaller than the sum of its proper divisors (114805752).

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

45706248 is a wasteful number, since it uses less digits than its factorization.

45706248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45706248 is about 6760.6396147110. The cubic root of 45706248 is about 357.5404567318.

It can be divided in two parts, 45706 and 248, that added together give a palindrome (45954).

The spelling of 45706248 in words is "forty-five million, seven hundred six thousand, two hundred forty-eight".