Search a number
-
+
48760632 = 2332677231
BaseRepresentation
bin1011101000000…
…0011100111000
310101202022000100
42322000130320
544440320012
64501035400
71131313164
oct272003470
9111668010
1048760632
1125584648
12143b5b60
13a14325b
146693ca4
1544328dc
hex2e80738

48760632 has 24 divisors (see below), whose sum is σ = 132060240. Its totient is φ = 16253520.

The previous prime is 48760627. The next prime is 48760633. The reversal of 48760632 is 23606784.

48760632 is a `hidden beast` number, since 48 + 7 + 606 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48760633) 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 5 ways as a sum of consecutive naturals, for example, 338544 + ... + 338687.

It is an arithmetic number, because the mean of its divisors is an integer number (5502510).

Almost surely, 248760632 is an apocalyptic number.

It is an amenable number.

48760632 is an abundant number, since it is smaller than the sum of its proper divisors (83299608).

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

48760632 is a wasteful number, since it uses less digits than its factorization.

48760632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677243 (or 677236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 48760632 is about 6982.8813537107. The cubic root of 48760632 is about 365.3337336680. Note that the first 3 decimals are identical.

The spelling of 48760632 in words is "forty-eight million, seven hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677231 1354462 2031693 2708924 4063386 5417848 6095079 8126772 12190158 16253544 24380316 48760632