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48577440 = 2535101203
BaseRepresentation
bin1011100101001…
…1101110100000
310101101222201110
42321103232200
544413434230
64453103320
71126621122
oct271235640
9111358643
1048577440
1125469a4a
1214327b40
13a0aaa62
146647212
1543e84b0
hex2e53ba0

48577440 has 48 divisors (see below), whose sum is σ = 153020448. Its totient is φ = 12953856.

The previous prime is 48577439. The next prime is 48577453. The reversal of 48577440 is 4477584.

48577440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 50122 + ... + 51081.

It is an arithmetic number, because the mean of its divisors is an integer number (3187926).

Almost surely, 248577440 is an apocalyptic number.

48577440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48577440 is an abundant number, since it is smaller than the sum of its proper divisors (104443008).

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

48577440 is a wasteful number, since it uses less digits than its factorization.

48577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101221 (or 101213 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 48577440 is about 6969.7517889807. The cubic root of 48577440 is about 364.8756441319.

The spelling of 48577440 in words is "forty-eight million, five hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 101203 202406 303609 404812 506015 607218 809624 1012030 1214436 1518045 1619248 2024060 2428872 3036090 3238496 4048120 4857744 6072180 8096240 9715488 12144360 16192480 24288720 48577440