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48199536 = 2435721123
BaseRepresentation
bin1011011111011…
…1011101110000
310100200210100000
42313313131300
544314341121
64441030000
71123455300
oct267673560
9110623300
1048199536
1125231030
1214185300
139ca7a48
146589600
154371526
hex2df7770

48199536 has 360 divisors, whose sum is σ = 185238144. Its totient is φ = 11975040.

The previous prime is 48199507. The next prime is 48199549. The reversal of 48199536 is 63599184.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 48199491 and 48199500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095621 + ... + 2095643.

It is a vampire number, since it can be written as 48519936 (with its own digits).

Almost surely, 248199536 is an apocalyptic number.

48199536 is a gapful number since it is divisible by the number (46) 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 48199536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

48199536 is an abundant number, since it is smaller than the sum of its proper divisors (137038608).

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

48199536 is a wasteful number, since it uses less digits than its factorization.

48199536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 48199536 is about 6942.5885662338. The cubic root of 48199536 is about 363.9270070600.

The spelling of 48199536 in words is "forty-eight million, one hundred ninety-nine thousand, five hundred thirty-six".