Search a number
-
+
43808525442 = 232114745710301
BaseRepresentation
bin101000110011001100…
…010000110010000010
311012002002110200020100
4220303030100302002
51204204440303232
632043024423230
73110421215343
oct506314206202
9135062420210
1043808525442
1117640852630
1285a7477b16
134192113306
14219831c0ca
151216038c7c
hexa33310c82

43808525442 has 96 divisors (see below), whose sum is σ = 105992250624. Its totient is φ = 12963168000.

The previous prime is 43808525441. The next prime is 43808525507. The reversal of 43808525442 is 24452580834.

43808525442 is a `hidden beast` number, since 4 + 3 + 80 + 8 + 525 + 4 + 42 = 666.

It is a super-2 number, since 2×438085254422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43808525441) 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 47 ways as a sum of consecutive naturals, for example, 4247692 + ... + 4257992.

It is an arithmetic number, because the mean of its divisors is an integer number (1104085944).

Almost surely, 243808525442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43808525442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996125312).

43808525442 is an abundant number, since it is smaller than the sum of its proper divisors (62183725182).

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

43808525442 is a wasteful number, since it uses less digits than its factorization.

43808525442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10824 (or 10821 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 43808525442 in words is "forty-three billion, eight hundred eight million, five hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 457 517 846 914 1034 1371 1551 2742 3102 4113 4653 5027 8226 9306 10054 10301 15081 20602 21479 30162 30903 42958 45243 61806 64437 90486 92709 113311 128874 185418 193311 226622 236269 339933 386622 472538 484147 679866 708807 968294 1019799 1417614 1452441 2039598 2126421 2904882 4252842 4357323 4707557 5325617 8714646 9415114 10651234 14122671 15976851 28245342 31953702 42368013 47930553 51783127 84736026 95861106 103566254 155349381 221255179 310698762 442510358 466048143 663765537 932096286 1327531074 1991296611 2433806969 3982593222 4867613938 7301420907 14602841814 21904262721 43808525442