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48325000 = 23551933
BaseRepresentation
bin1011100001011…
…0000110001000
310100221011102211
42320112012020
544332400000
64443434504
71124520133
oct270260610
9110834384
1048325000
1125307319
1214225a34
13a01cb99
1465bd21a
1543987ba
hex2e16188

48325000 has 48 divisors (see below), whose sum is σ = 113313060. Its totient is φ = 19320000.

The previous prime is 48324989. The next prime is 48325031. The reversal of 48325000 is 52384.

It can be written as a sum of positive squares in 6 ways, for example, as 3247204 + 45077796 = 1802^2 + 6714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24034 + ... + 25966.

Almost surely, 248325000 is an apocalyptic number.

48325000 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 48325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56656530).

48325000 is an abundant number, since it is smaller than the sum of its proper divisors (64988060).

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

48325000 is an equidigital number, since it uses as much as digits as its factorization.

48325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 48325000 is about 6951.6185165758. The cubic root of 48325000 is about 364.2425023349.

Adding to 48325000 its reverse (52384), we get a palindrome (48377384).

The spelling of 48325000 in words is "forty-eight million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 1933 2500 3125 3866 5000 6250 7732 9665 12500 15464 19330 25000 38660 48325 77320 96650 193300 241625 386600 483250 966500 1208125 1933000 2416250 4832500 6040625 9665000 12081250 24162500 48325000