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48641300 = 22524011213
BaseRepresentation
bin1011100110001…
…1010100010100
310101112020022122
42321203110110
544423010200
64454315112
71130305241
oct271432424
9111466278
1048641300
1125502a24
1214358a98
13a100b46
1466625c8
15440c385
hex2e63514

48641300 has 36 divisors (see below), whose sum is σ = 105902076. Its totient is φ = 19392000.

The previous prime is 48641279. The next prime is 48641303. The reversal of 48641300 is 314684.

It can be written as a sum of positive squares in 6 ways, for example, as 394384 + 48246916 = 628^2 + 6946^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48641300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48641303) 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, 39494 + ... + 40706.

Almost surely, 248641300 is an apocalyptic number.

It is an amenable number.

48641300 is an abundant number, since it is smaller than the sum of its proper divisors (57260776).

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

48641300 is a wasteful number, since it uses less digits than its factorization.

48641300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48641300 is about 6974.3315091842. The cubic root of 48641300 is about 365.0354628707.

Adding to 48641300 its reverse (314684), we get a palindrome (48955984).

The spelling of 48641300 in words is "forty-eight million, six hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1213 1604 2005 2426 4010 4852 6065 8020 10025 12130 20050 24260 30325 40100 60650 121300 486413 972826 1945652 2432065 4864130 9728260 12160325 24320650 48641300