Search a number
-
+
46966960 = 245587087
BaseRepresentation
bin1011001100101…
…0100010110000
310021101011120001
42303022202300
544010420320
64354355344
71110132625
oct263124260
9107334501
1046966960
1124569a77
121388bb54
139965a01
14634834c
1541cb20a
hex2cca8b0

46966960 has 20 divisors (see below), whose sum is σ = 109198368. Its totient is φ = 18786752.

The previous prime is 46966951. The next prime is 46966973. The reversal of 46966960 is 6966964.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 46966960.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 293464 + ... + 293623.

Almost surely, 246966960 is an apocalyptic number.

46966960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46966960 is an abundant number, since it is smaller than the sum of its proper divisors (62231408).

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

46966960 is a wasteful number, since it uses less digits than its factorization.

46966960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587100 (or 587094 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 46966960 is about 6853.2444871024. The cubic root of 46966960 is about 360.7980239255.

The spelling of 46966960 in words is "forty-six million, nine hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 587087 1174174 2348348 2935435 4696696 5870870 9393392 11741740 23483480 46966960