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48076448 = 257230661
BaseRepresentation
bin1011011101100…
…1011010100000
310100110112111012
42313121122200
544301421243
64434240052
71122433400
oct267313240
9110415435
1048076448
1125157602
1214126028
139c63a04
146556800
154349d18
hex2dd96a0

48076448 has 36 divisors (see below), whose sum is σ = 110107242. Its totient is φ = 20603520.

The previous prime is 48076447. The next prime is 48076481. The reversal of 48076448 is 84467084.

48076448 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 only one way, i.e., 25684624 + 22391824 = 5068^2 + 4732^2 .

It is a super-3 number, since 3×480764483 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48076447) 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 5 ways as a sum of consecutive naturals, for example, 13763 + ... + 16898.

Almost surely, 248076448 is an apocalyptic number.

It is an amenable number.

48076448 is an abundant number, since it is smaller than the sum of its proper divisors (62030794).

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

48076448 is a wasteful number, since it uses less digits than its factorization.

48076448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30685 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 48076448 is about 6933.7181944466. The cubic root of 48076448 is about 363.6169540549.

The spelling of 48076448 in words is "forty-eight million, seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 30661 61322 122644 214627 245288 429254 490576 858508 981152 1502389 1717016 3004778 3434032 6009556 6868064 12019112 24038224 48076448