Search a number
-
+
46745040 = 2435194771
BaseRepresentation
bin1011001001010…
…0010111010000
310020221220010210
42302110113100
543431320130
64345524120
71105216626
oct262242720
9106856123
1046745040
1124428271
12137a3640
1398b89b4
1462cb516
1541855b0
hex2c945d0

46745040 has 40 divisors (see below), whose sum is σ = 144910368. Its totient is φ = 12465280.

The previous prime is 46745021. The next prime is 46745047. The reversal of 46745040 is 4054764.

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 = 46744989 and 46745007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46745047) 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 7 ways as a sum of consecutive naturals, for example, 97146 + ... + 97625.

Almost surely, 246745040 is an apocalyptic number.

46745040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46745040 is an abundant number, since it is smaller than the sum of its proper divisors (98165328).

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

46745040 is a wasteful number, since it uses less digits than its factorization.

46745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194787 (or 194781 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 46745040 is about 6837.0344448452. The cubic root of 46745040 is about 360.2288668148.

The spelling of 46745040 in words is "forty-six million, seven hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 194771 389542 584313 779084 973855 1168626 1558168 1947710 2337252 2921565 3116336 3895420 4674504 5843130 7790840 9349008 11686260 15581680 23372520 46745040