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4675400 = 235297241
BaseRepresentation
bin10001110101011101001000
322210112102222
4101311131020
52144103100
6244113212
754511622
oct21653510
98715388
104675400
112703774
121695808
13c79112
14899c12
15625485
hex475748

4675400 has 48 divisors (see below), whose sum is σ = 11027940. Its totient is φ = 1843200.

The previous prime is 4675397. The next prime is 4675403. The reversal of 4675400 is 45764.

It is an interprime number because it is at equal distance from previous prime (4675397) and next prime (4675403).

It can be written as a sum of positive squares in 6 ways, for example, as 2172676 + 2502724 = 1474^2 + 1582^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4675400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19280 + ... + 19520.

Almost surely, 24675400 is an apocalyptic number.

4675400 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 4675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513970).

4675400 is an abundant number, since it is smaller than the sum of its proper divisors (6352540).

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

4675400 is a wasteful number, since it uses less digits than its factorization.

4675400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4675400 is about 2162.2673285235. The cubic root of 4675400 is about 167.2141109707.

The spelling of 4675400 in words is "four million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 241 388 482 485 776 964 970 1205 1928 1940 2410 2425 3880 4820 4850 6025 9640 9700 12050 19400 23377 24100 46754 48200 93508 116885 187016 233770 467540 584425 935080 1168850 2337700 4675400