Search a number
-
+
45851652 = 2232721117139
BaseRepresentation
bin1010111011101…
…0010000000100
310012021111122100
42232322100010
543214223102
64314432100
71064506200
oct256722004
9105244570
1045851652
1123978030
1213432630
139665172
146137b00
15405aa1c
hex2bba404

45851652 has 216 divisors, whose sum is σ = 156854880. Its totient is φ = 11128320.

The previous prime is 45851633. The next prime is 45851657. The reversal of 45851652 is 25615854.

It is a super-2 number, since 2×458516522 = 4204747982258208, 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 (45851657) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 329799 + ... + 329937.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 245851652 is an apocalyptic number.

45851652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45851652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

45851652 is an abundant number, since it is smaller than the sum of its proper divisors (111003228).

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

45851652 is a wasteful number, since it uses less digits than its factorization.

45851652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45851652 is about 6771.3847919019. The cubic root of 45851652 is about 357.9191998500.

The spelling of 45851652 in words is "forty-five million, eight hundred fifty-one thousand, six hundred fifty-two".