Search a number
-
+
43649040 = 2435181871
BaseRepresentation
bin1010011010000…
…0100000010000
310001010121020010
42212200200100
542133232130
64155314520
71040003451
oct246404020
9101117203
1043649040
1122703196
121274ba40
139073746
145b23128
153c730b0
hex29a0810

43649040 has 40 divisors (see below), whose sum is σ = 135312768. Its totient is φ = 11639680.

The previous prime is 43649033. The next prime is 43649059. The reversal of 43649040 is 4094634.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 43648989 and 43649007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90696 + ... + 91175.

Almost surely, 243649040 is an apocalyptic number.

43649040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43649040 is an abundant number, since it is smaller than the sum of its proper divisors (91663728).

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

43649040 is a wasteful number, since it uses less digits than its factorization.

43649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181887 (or 181881 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 43649040 is about 6606.7420110066. The cubic root of 43649040 is about 352.0936820210.

The spelling of 43649040 in words is "forty-three million, six hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 181871 363742 545613 727484 909355 1091226 1454968 1818710 2182452 2728065 2909936 3637420 4364904 5456130 7274840 8729808 10912260 14549680 21824520 43649040