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48200000 = 2655241
BaseRepresentation
bin1011011111011…
…1100101000000
310100200210222012
42313313211000
544314400000
64441032052
71123456532
oct267674500
9110623865
1048200000
1125231412
1214185628
139ca8014
146589852
154371735
hex2df7940

48200000 has 84 divisors (see below), whose sum is σ = 120047004. Its totient is φ = 19200000.

The previous prime is 48199961. The next prime is 48200003. The reversal of 48200000 is 284.

It can be written as a sum of positive squares in 6 ways, for example, as 34480384 + 13719616 = 5872^2 + 3704^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199880 + ... + 200120.

It is an arithmetic number, because the mean of its divisors is an integer number (1429131).

Almost surely, 248200000 is an apocalyptic number.

48200000 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 48200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

48200000 is an abundant number, since it is smaller than the sum of its proper divisors (71847004).

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

48200000 is an frugal number, since it uses more digits than its factorization.

48200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 48200000 is about 6942.6219830839. The cubic root of 48200000 is about 363.9281748554.

Adding to 48200000 its reverse (284), we get a palindrome (48200284).

The spelling of 48200000 in words is "forty-eight million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 625 800 964 1000 1205 1250 1600 1928 2000 2410 2500 3125 3856 4000 4820 5000 6025 6250 7712 8000 9640 10000 12050 12500 15424 19280 20000 24100 25000 30125 38560 40000 48200 50000 60250 77120 96400 100000 120500 150625 192800 200000 241000 301250 385600 482000 602500 753125 964000 1205000 1506250 1928000 2410000 3012500 4820000 6025000 9640000 12050000 24100000 48200000