Search a number
-
+
36076152 = 2337230677
BaseRepresentation
bin1000100110011…
…1101001111000
32111212212011210
42021213221320
533213414102
63325123120
7615433200
oct211475170
974785153
1036076152
1119400602
12100b94a0
137621848
144b11400
15327936c
hex2267a78

36076152 has 48 divisors (see below), whose sum is σ = 104918760. Its totient is φ = 10307136.

The previous prime is 36076151. The next prime is 36076169. The reversal of 36076152 is 25167063.

36076152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36076151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14163 + ... + 16514.

Almost surely, 236076152 is an apocalyptic number.

It is an amenable number.

36076152 is an abundant number, since it is smaller than the sum of its proper divisors (68842608).

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

36076152 is a wasteful number, since it uses less digits than its factorization.

36076152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30700 (or 30689 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 36076152 is about 6006.3426475685. The cubic root of 36076152 is about 330.4253834755.

The spelling of 36076152 in words is "thirty-six million, seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 30677 61354 92031 122708 184062 214739 245416 368124 429478 644217 736248 858956 1288434 1503173 1717912 2576868 3006346 4509519 5153736 6012692 9019038 12025384 18038076 36076152