Search a number
-
+
3742050 = 23521319101
BaseRepresentation
bin1110010001100101100010
321001010010110
432101211202
51424221200
6212112150
743543524
oct16214542
97033113
103742050
112126504
121305656
13a10340
146d5a14
154ddb50
hex391962

3742050 has 96 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 864000.

The previous prime is 3742049. The next prime is 3742051. The reversal of 3742050 is 502473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3742049) and next prime (3742051).

It is not an unprimeable number, because it can be changed into a prime (3742051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37000 + ... + 37100.

It is an arithmetic number, because the mean of its divisors is an integer number (110670).

Almost surely, 23742050 is an apocalyptic number.

3742050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

3742050 is an abundant number, since it is smaller than the sum of its proper divisors (6882270).

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

3742050 is a wasteful number, since it uses less digits than its factorization.

3742050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 3742050 is about 1934.4379028545. The cubic root of 3742050 is about 155.2517587402.

The spelling of 3742050 in words is "three million, seven hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 101 114 130 150 190 195 202 247 285 303 325 390 475 494 505 570 606 650 741 950 975 1010 1235 1313 1425 1482 1515 1919 1950 2470 2525 2626 2850 3030 3705 3838 3939 5050 5757 6175 6565 7410 7575 7878 9595 11514 12350 13130 15150 18525 19190 19695 24947 28785 32825 37050 39390 47975 49894 57570 65650 74841 95950 98475 124735 143925 149682 196950 249470 287850 374205 623675 748410 1247350 1871025 3742050