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48485600 = 255260607
BaseRepresentation
bin1011100011110…
…1010011100000
310101020022201222
42320331103200
544403014400
64451114212
71126056302
oct270752340
9111208658
1048485600
1125406a49
12142a2968
13a078007
146621972
1543cb185
hex2e3d4e0

48485600 has 36 divisors (see below), whose sum is σ = 118367424. Its totient is φ = 19393920.

The previous prime is 48485599. The next prime is 48485603. The reversal of 48485600 is 658484.

48485600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48485603) 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, 29504 + ... + 31103.

It is an arithmetic number, because the mean of its divisors is an integer number (3287984).

Almost surely, 248485600 is an apocalyptic number.

48485600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48485600 is an abundant number, since it is smaller than the sum of its proper divisors (69881824).

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

48485600 is a wasteful number, since it uses less digits than its factorization.

48485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60627 (or 60614 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 48485600 is about 6963.1602020922. The cubic root of 48485600 is about 364.6455557111.

The spelling of 48485600 in words is "forty-eight million, four hundred eighty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 60607 121214 242428 303035 484856 606070 969712 1212140 1515175 1939424 2424280 3030350 4848560 6060700 9697120 12121400 24242800 48485600