Search a number
-
+
43426296 = 23321722087
BaseRepresentation
bin1010010110101…
…0000111111000
310000201021200100
42211222013320
542104120141
64150435400
71035055164
oct245520770
9100637610
1043426296
1122570901
1212662b60
138cc6244
145aa5ca4
153c2c0b6
hex296a1f8

43426296 has 72 divisors (see below), whose sum is σ = 124998120. Its totient is φ = 13617408.

The previous prime is 43426237. The next prime is 43426303. The reversal of 43426296 is 69262434.

43426296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 43426296.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 19765 + ... + 21851.

It is an arithmetic number, because the mean of its divisors is an integer number (1736085).

Almost surely, 243426296 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 43426296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62499060).

43426296 is an abundant number, since it is smaller than the sum of its proper divisors (81571824).

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

43426296 is a wasteful number, since it uses less digits than its factorization.

43426296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2109 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 43426296 is about 6589.8631245269. The cubic root of 43426296 is about 351.4937410655.

The spelling of 43426296 in words is "forty-three million, four hundred twenty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2087 2312 2601 3468 4174 5202 6261 6936 8348 10404 12522 16696 18783 20808 25044 35479 37566 50088 70958 75132 106437 141916 150264 212874 283832 319311 425748 603143 638622 851496 1206286 1277244 1809429 2412572 2554488 3618858 4825144 5428287 7237716 10856574 14475432 21713148 43426296