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48676848 = 24311217229
BaseRepresentation
bin1011100110101…
…1111111110000
310101121001002020
42321223333300
544430124343
64455151440
71130514003
oct271537760
9111531066
1048676848
1125527700
1214375580
13a11408c
14667153a
154417b83
hex2e6bff0

48676848 has 180 divisors, whose sum is σ = 151891320. Its totient is φ = 13404160.

The previous prime is 48676847. The next prime is 48676871. The reversal of 48676848 is 84867684.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2064384) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 48676848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48676847) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1678498 + ... + 1678526.

Almost surely, 248676848 is an apocalyptic number.

48676848 is a gapful number since it is divisible by the number (48) 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 48676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75945660).

48676848 is an abundant number, since it is smaller than the sum of its proper divisors (103214472).

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

48676848 is a wasteful number, since it uses less digits than its factorization.

48676848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 48676848 is about 6976.8795317104. The cubic root of 48676848 is about 365.1243662019.

The spelling of 48676848 in words is "forty-eight million, six hundred seventy-six thousand, eight hundred forty-eight".