Search a number
-
+
45919332 = 22331932203
BaseRepresentation
bin1010111100101…
…0110001100100
310012101221111000
42233022301210
543223404312
64320113300
71065210414
oct257126144
9105357430
1045919332
1123a13968
1213465830
139689c04
146154644
154070adc
hex2bcac64

45919332 has 48 divisors (see below), whose sum is σ = 119721280. Its totient is φ = 15220224.

The previous prime is 45919231. The next prime is 45919337. The reversal of 45919332 is 23391954.

It is a happy number.

45919332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (45919337) 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 15 ways as a sum of consecutive naturals, for example, 19743 + ... + 21945.

Almost surely, 245919332 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 45919332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59860640).

45919332 is an abundant number, since it is smaller than the sum of its proper divisors (73801948).

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

45919332 is a wasteful number, since it uses less digits than its factorization.

45919332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2401 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 45919332 is about 6776.3804497682. The cubic root of 45919332 is about 358.0952172266.

It can be divided in two parts, 459 and 19332, that added together give a palindrome (19791).

The spelling of 45919332 in words is "forty-five million, nine hundred nineteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2203 2316 3474 4406 5211 6609 6948 8812 10422 13218 19827 20844 26436 39654 59481 79308 118962 237924 425179 850358 1275537 1700716 2551074 3826611 5102148 7653222 11479833 15306444 22959666 45919332