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48560000 = 2754607
BaseRepresentation
bin1011100100111…
…1011110000000
310101101002210112
42321033132000
544412410000
64452450452
71126516226
oct271173600
9111332715
1048560000
1125457935
1214319a28
13a0a2b38
146640b16
1543e3235
hex2e4f780

48560000 has 80 divisors (see below), whose sum is σ = 121086240. Its totient is φ = 19392000.

The previous prime is 48559999. The next prime is 48560011. The reversal of 48560000 is 6584.

48560000 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 (80).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 79697 + ... + 80303.

It is an arithmetic number, because the mean of its divisors is an integer number (1513578).

Almost surely, 248560000 is an apocalyptic number.

48560000 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 48560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60543120).

48560000 is an abundant number, since it is smaller than the sum of its proper divisors (72526240).

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

48560000 is an frugal number, since it uses more digits than its factorization.

48560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 48560000 is about 6968.5005560737. The cubic root of 48560000 is about 364.8319737031.

Adding to 48560000 its reverse (6584), we get a palindrome (48566584).

The spelling of 48560000 in words is "forty-eight million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 607 625 640 800 1000 1214 1250 1600 2000 2428 2500 3035 3200 4000 4856 5000 6070 8000 9712 10000 12140 15175 16000 19424 20000 24280 30350 38848 40000 48560 60700 75875 77696 80000 97120 121400 151750 194240 242800 303500 379375 388480 485600 607000 758750 971200 1214000 1517500 1942400 2428000 3035000 4856000 6070000 9712000 12140000 24280000 48560000