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48508000 = 255367181
BaseRepresentation
bin1011100100001…
…0110001100000
310101021110110121
42321002301200
544404224000
64451410024
71126211512
oct271026140
9111243417
1048508000
1125421862
12142b3914
13a085278
146629bb2
1543d2b1a
hex2e42c60

48508000 has 96 divisors (see below), whose sum is σ = 121631328. Its totient is φ = 19008000.

The previous prime is 48507997. The next prime is 48508003. The reversal of 48508000 is 80584.

It is an interprime number because it is at equal distance from previous prime (48507997) and next prime (48508003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48508003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267910 + ... + 268090.

It is an arithmetic number, because the mean of its divisors is an integer number (1266993).

Almost surely, 248508000 is an apocalyptic number.

48508000 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 48508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60815664).

48508000 is an abundant number, since it is smaller than the sum of its proper divisors (73123328).

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

48508000 is a wasteful number, since it uses less digits than its factorization.

48508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 48508000 is about 6964.7684814357. The cubic root of 48508000 is about 364.7017016109.

Adding to 48508000 its reverse (80584), we get a palindrome (48588584).

The spelling of 48508000 in words is "forty-eight million, five hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 181 200 250 268 335 362 400 500 536 670 724 800 905 1000 1072 1340 1448 1675 1810 2000 2144 2680 2896 3350 3620 4000 4525 5360 5792 6700 7240 8375 9050 10720 12127 13400 14480 16750 18100 22625 24254 26800 28960 33500 36200 45250 48508 53600 60635 67000 72400 90500 97016 121270 134000 144800 181000 194032 242540 268000 303175 362000 388064 485080 606350 724000 970160 1212700 1515875 1940320 2425400 3031750 4850800 6063500 9701600 12127000 24254000 48508000