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48049360 = 245641937
BaseRepresentation
bin1011011101001…
…0110011010000
310100102011022221
42313102303100
544300034420
64433510424
71122261412
oct267226320
9110364287
1048049360
1125139217
1214112414
139c54598
14654a9b2
154341caa
hex2dd2cd0

48049360 has 40 divisors (see below), whose sum is σ = 112008456. Its totient is φ = 19169280.

The previous prime is 48049357. The next prime is 48049367. The reversal of 48049360 is 6394084.

48049360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 44408896 = 1908^2 + 6664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48049367) 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 7 ways as a sum of consecutive naturals, for example, 50812 + ... + 51748.

Almost surely, 248049360 is an apocalyptic number.

48049360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48049360 is an abundant number, since it is smaller than the sum of its proper divisors (63959096).

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

48049360 is a wasteful number, since it uses less digits than its factorization.

48049360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 48049360 is about 6931.7645661116. The cubic root of 48049360 is about 363.5486496015.

The spelling of 48049360 in words is "forty-eight million, forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 641 937 1282 1874 2564 3205 3748 4685 5128 6410 7496 9370 10256 12820 14992 18740 25640 37480 51280 74960 600617 1201234 2402468 3003085 4804936 6006170 9609872 12012340 24024680 48049360