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48168936 = 2332897517
BaseRepresentation
bin1011011110111…
…1111111101000
310100122020100200
42313233333220
544312401221
64440232200
71123300134
oct267577750
9110566320
1048168936
1125210042
121416b660
139c96b3a
14657c3c4
154367426
hex2deffe8

48168936 has 48 divisors (see below), whose sum is σ = 131940900. Its totient is φ = 15873792.

The previous prime is 48168929. The next prime is 48168943. The reversal of 48168936 is 63986184.

It is an interprime number because it is at equal distance from previous prime (48168929) and next prime (48168943).

It can be written as a sum of positive squares in 2 ways, for example, as 47692836 + 476100 = 6906^2 + 690^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 48168891 and 48168900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2650 + ... + 10166.

Almost surely, 248168936 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 48168936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65970450).

48168936 is an abundant number, since it is smaller than the sum of its proper divisors (83771964).

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

48168936 is a wasteful number, since it uses less digits than its factorization.

48168936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7611 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48168936 is about 6940.3844273931. The cubic root of 48168936 is about 363.8499764160.

The spelling of 48168936 in words is "forty-eight million, one hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 7517 15034 22551 30068 45102 60136 67653 90204 135306 180408 270612 541224 669013 1338026 2007039 2676052 4014078 5352104 6021117 8028156 12042234 16056312 24084468 48168936