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45751248 = 2432317717
BaseRepresentation
bin1010111010000…
…1101111010000
310012002101220200
42232201233100
543203014443
64312335200
71063610364
oct256415720
9105071820
1045751248
1123909654
12133a4500
13962b55a
14610d2a4
15403add3
hex2ba1bd0

45751248 has 30 divisors (see below), whose sum is σ = 128040354. Its totient is φ = 15250368.

The previous prime is 45751231. The next prime is 45751249. The reversal of 45751248 is 84215754.

45751248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23736384 + 22014864 = 4872^2 + 4692^2 .

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 (45751249) 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 5 ways as a sum of consecutive naturals, for example, 158715 + ... + 159002.

Almost surely, 245751248 is an apocalyptic number.

45751248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45751248 is an abundant number, since it is smaller than the sum of its proper divisors (82289106).

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

45751248 is a wasteful number, since it uses less digits than its factorization.

45751248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317731 (or 317722 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45751248 is about 6763.9668834198. The cubic root of 45751248 is about 357.6577568377.

The spelling of 45751248 in words is "forty-five million, seven hundred fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317717 635434 953151 1270868 1906302 2541736 2859453 3812604 5083472 5718906 7625208 11437812 15250416 22875624 45751248