Search a number
-
+
36421644 = 2237597349
BaseRepresentation
bin1000101011110…
…0000000001100
32112112102002210
42022330000030
533310443034
63340350420
7621402360
oct212740014
975472083
1036421644
1119617136
1210245410
137712b8c
144ba12a0
1532e68e9
hex22bc00c

36421644 has 48 divisors (see below), whose sum is σ = 98784000. Its totient is φ = 10228416.

The previous prime is 36421639. The next prime is 36421661. The reversal of 36421644 is 44612463.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 8630.

It is an arithmetic number, because the mean of its divisors is an integer number (2058000).

Almost surely, 236421644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36421644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392000).

36421644 is an abundant number, since it is smaller than the sum of its proper divisors (62362356).

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

36421644 is a wasteful number, since it uses less digits than its factorization.

36421644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7420 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 36421644 is about 6035.0347140675. The cubic root of 36421644 is about 331.4768336447.

The spelling of 36421644 in words is "thirty-six million, four hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 7349 14698 22047 29396 44094 51443 88188 102886 154329 205772 308658 433591 617316 867182 1300773 1734364 2601546 3035137 5203092 6070274 9105411 12140548 18210822 36421644