Search a number
-
+
48535956 = 223371931109
BaseRepresentation
bin1011100100100…
…1100110010100
310101022212211000
42321021212110
544411122311
64452143300
71126356150
oct271114624
9111285730
1048535956
1125440867
1214307b30
13a094c01
146636060
1543db056
hex2e49994

48535956 has 192 divisors, whose sum is σ = 157696000. Its totient is φ = 12597120.

The previous prime is 48535951. The next prime is 48535961. The reversal of 48535956 is 65953584.

48535956 is a `hidden beast` number, since 4 + 8 + 53 + 595 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48535951) and next prime (48535961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48535951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445230 + ... + 445338.

Almost surely, 248535956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48535956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848000).

48535956 is an abundant number, since it is smaller than the sum of its proper divisors (109160044).

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

48535956 is a wasteful number, since it uses less digits than its factorization.

48535956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 48535956 is about 6966.7751506705. The cubic root of 48535956 is about 364.7717494570.

The spelling of 48535956 in words is "forty-eight million, five hundred thirty-five thousand, nine hundred fifty-six".