Search a number
-
+
48879936 = 26357449
BaseRepresentation
bin1011101001110…
…1100101000000
310101222100200000
42322131211000
5100003124221
64503400000
71132321050
oct272354500
9111870600
1048879936
1125656246
1214453000
13a185651
1466c5560
154457e26
hex2e9d940

48879936 has 168 divisors, whose sum is σ = 166420800. Its totient is φ = 13934592.

The previous prime is 48879911. The next prime is 48879937. The reversal of 48879936 is 63997884.

48879936 is a `hidden beast` number, since 488 + 79 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48879937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108640 + ... + 109088.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 248879936 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 48879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83210400).

48879936 is an abundant number, since it is smaller than the sum of its proper divisors (117540864).

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

48879936 is an equidigital number, since it uses as much as digits as its factorization.

48879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 48879936 is about 6991.4187401414. The cubic root of 48879936 is about 365.6314484070.

The spelling of 48879936 in words is "forty-eight million, eight hundred seventy-nine thousand, nine hundred thirty-six".