[go: up one dir, main page]

Search a number
-
+
36868816 = 2419235273
BaseRepresentation
bin1000110010100…
…1001011010000
32120101010111201
42030221023100
533414300231
63354120544
7625244155
oct214511320
976333451
1036868816
11198a20a6
1210420154
13783b58a
144c7a22c
153384161
hex23292d0

36868816 has 40 divisors (see below), whose sum is σ = 78477120. Its totient is φ = 16701696.

The previous prime is 36868789. The next prime is 36868817. The reversal of 36868816 is 61886863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36868817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4356 + ... + 9628.

It is an arithmetic number, because the mean of its divisors is an integer number (1961928).

Almost surely, 236868816 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 36868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39238560).

36868816 is an abundant number, since it is smaller than the sum of its proper divisors (41608304).

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

36868816 is a wasteful number, since it uses less digits than its factorization.

36868816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5323 (or 5317 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 36868816 is about 6071.9696968941. The cubic root of 36868816 is about 332.8279042338.

The spelling of 36868816 in words is "thirty-six million, eight hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 5273 6992 10546 21092 42184 84368 100187 121279 200374 242558 400748 485116 801496 970232 1602992 1940464 2304301 4608602 9217204 18434408 36868816