Search a number
-
+
43229844 = 223271710091
BaseRepresentation
bin1010010011101…
…0001010010100
310000100022012100
42210322022110
542031323334
64142322100
71033306350
oct244721224
9100308170
1043229844
1122447249
1212589330
138c579b8
145a54460
153bddc99
hex293a294

43229844 has 72 divisors (see below), whose sum is σ = 132245568. Its totient is φ = 11623680.

The previous prime is 43229843. The next prime is 43229887. The reversal of 43229844 is 44892234.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 43229799 and 43229808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43229843) 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 23 ways as a sum of consecutive naturals, for example, 762 + ... + 9329.

It is an arithmetic number, because the mean of its divisors is an integer number (1836744).

Almost surely, 243229844 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 43229844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66122784).

43229844 is an abundant number, since it is smaller than the sum of its proper divisors (89015724).

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

43229844 is a wasteful number, since it uses less digits than its factorization.

43229844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10120 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 43229844 is about 6574.9406080968. The cubic root of 43229844 is about 350.9629103430.

It can be divided in two parts, 432 and 29844, that added together give a square (30276 = 1742).

The spelling of 43229844 in words is "forty-three million, two hundred twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 10091 20182 30273 40364 60546 70637 90819 121092 141274 171547 181638 211911 282548 343094 363276 423822 514641 635733 686188 847644 1029282 1200829 1271466 1543923 2058564 2401658 2542932 3087846 3602487 4803316 6175692 7204974 10807461 14409948 21614922 43229844