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4048933248 = 2732172389101
BaseRepresentation
bin1111000101010101…
…1101000110000000
3101110011210010020200
43301111131012000
531243011330443
61505434405200
7202223236053
oct36125350600
911404703220
104048933248
111798576528
1294bb90800
134c6ac53b9
142a5a50a9a
1518a6dddd3
hexf155d180

4048933248 has 384 divisors, whose sum is σ = 13146494400. Its totient is φ = 1189478400.

The previous prime is 4048933243. The next prime is 4048933261. The reversal of 4048933248 is 8423398404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048933243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40088398 + ... + 40088498.

Almost surely, 24048933248 is an apocalyptic number.

4048933248 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 4048933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573247200).

4048933248 is an abundant number, since it is smaller than the sum of its proper divisors (9097561152).

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

4048933248 is a wasteful number, since it uses less digits than its factorization.

4048933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4048933248 is about 63631.2285595681. The cubic root of 4048933248 is about 1593.8478917126.

It can be divided in two parts, 40489 and 33248, that added together give a palindrome (73737).

The spelling of 4048933248 in words is "four billion, forty-eight million, nine hundred thirty-three thousand, two hundred forty-eight".