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4138050 = 235272563
BaseRepresentation
bin1111110010010001000010
321210020100010
433302101002
52024404200
6224405350
750113200
oct17622102
97706303
104138050
112376a84
121476856
13b1b667
1479a070
1556b150
hex3f2442

4138050 has 72 divisors (see below), whose sum is σ = 11959056. Its totient is φ = 944160.

The previous prime is 4138033. The next prime is 4138051. The reversal of 4138050 is 508314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4138051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7069 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (166098).

Almost surely, 24138050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979528).

4138050 is an abundant number, since it is smaller than the sum of its proper divisors (7821006).

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

4138050 is a wasteful number, since it uses less digits than its factorization.

4138050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4138050 is about 2034.2197521409. The cubic root of 4138050 is about 160.5456630005.

The spelling of 4138050 in words is "four million, one hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 563 735 1050 1126 1225 1470 1689 2450 2815 3378 3675 3941 5630 7350 7882 8445 11823 14075 16890 19705 23646 27587 28150 39410 42225 55174 59115 82761 84450 98525 118230 137935 165522 197050 275870 295575 413805 591150 689675 827610 1379350 2069025 4138050