Search a number
-
+
36790050 = 23521122027
BaseRepresentation
bin1000110001010…
…1111100100010
32120020010110110
42030111330202
533404240200
63352312150
7624465423
oct214257442
976203413
1036790050
1119848a00
12103a2656
13781177b
144c5964a
15336ab50
hex2315f22

36790050 has 72 divisors (see below), whose sum is σ = 100337328. Its totient is φ = 8914400.

The previous prime is 36790043. The next prime is 36790081. The reversal of 36790050 is 5009763.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17137 + ... + 19163.

It is an arithmetic number, because the mean of its divisors is an integer number (1393574).

Almost surely, 236790050 is an apocalyptic number.

36790050 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 36790050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168664).

36790050 is an abundant number, since it is smaller than the sum of its proper divisors (63547278).

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

36790050 is a wasteful number, since it uses less digits than its factorization.

36790050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 36790050 is about 6065.4801953349. The cubic root of 36790050 is about 332.5907190228.

The spelling of 36790050 in words is "thirty-six million, seven hundred ninety thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 2027 3025 3630 4054 6050 6081 9075 10135 12162 18150 20270 22297 30405 44594 50675 60810 66891 101350 111485 133782 152025 222970 245267 304050 334455 490534 557425 668910 735801 1114850 1226335 1471602 1672275 2452670 3344550 3679005 6131675 7358010 12263350 18395025 36790050