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48844440 = 233251937193
BaseRepresentation
bin1011101001010…
…0111010011000
310101220112222100
42322110322120
5100001010230
64502523400
71132112421
oct272247230
9111815870
1048844440
1125631607
1214436560
13a172448
1466b6648
15444c660
hex2e94e98

48844440 has 192 divisors, whose sum is σ = 172504800. Its totient is φ = 11943936.

The previous prime is 48844409. The next prime is 48844441. The reversal of 48844440 is 4444884.

It is a happy number.

48844440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48844395 and 48844404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48844441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252984 + ... + 253176.

Almost surely, 248844440 is an apocalyptic number.

48844440 is a gapful number since it is divisible by the number (40) 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 48844440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86252400).

48844440 is an abundant number, since it is smaller than the sum of its proper divisors (123660360).

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

48844440 is a wasteful number, since it uses less digits than its factorization.

48844440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 48844440 is about 6988.8797385561. The cubic root of 48844440 is about 365.5429213083.

It can be divided in two parts, 48844 and 440, that added together give a square (49284 = 2222).

The spelling of 48844440 in words is "forty-eight million, eight hundred forty-four thousand, four hundred forty".