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48045312 = 28347331
BaseRepresentation
bin1011011101000…
…1110100000000
310100101221210000
42313101310000
544244422222
64433440000
71122243540
oct267216400
9110357700
1048045312
1125136177
1214110000
139c527a3
146549320
1543409ac
hex2dd1d00

48045312 has 180 divisors, whose sum is σ = 164223136. Its totient is φ = 13685760.

The previous prime is 48045311. The next prime is 48045313. The reversal of 48045312 is 21354084.

It is an interprime number because it is at equal distance from previous prime (48045311) and next prime (48045313).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48045311) 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 19 ways as a sum of consecutive naturals, for example, 144987 + ... + 145317.

Almost surely, 248045312 is an apocalyptic number.

48045312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82111568).

48045312 is an abundant number, since it is smaller than the sum of its proper divisors (116177824).

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

48045312 is an equidigital number, since it uses as much as digits as its factorization.

48045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48045312 is about 6931.4725708178. The cubic root of 48045312 is about 363.5384400568.

Adding to 48045312 its reverse (21354084), we get a palindrome (69399396).

The spelling of 48045312 in words is "forty-eight million, forty-five thousand, three hundred twelve".