Search a number
-
+
36868416 = 2631314771
BaseRepresentation
bin1000110010100…
…1000101000000
32120101002221220
42030221011000
533414242131
63354115040
7625243044
oct214510500
976332856
1036868416
11198a1872
121041ba80
13783b340
144c7a024
153383e96
hex2329140

36868416 has 56 divisors (see below), whose sum is σ = 105058464. Its totient is φ = 11343360.

The previous prime is 36868369. The next prime is 36868441. The reversal of 36868416 is 61486863.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4890 + ... + 9881.

It is an arithmetic number, because the mean of its divisors is an integer number (1876044).

Almost surely, 236868416 is an apocalyptic number.

It is an amenable number.

36868416 is an abundant number, since it is smaller than the sum of its proper divisors (68190048).

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

36868416 is a wasteful number, since it uses less digits than its factorization.

36868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14799 (or 14789 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 36868416 is about 6071.9367585639. The cubic root of 36868416 is about 332.8267005821.

The spelling of 36868416 in words is "thirty-six million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 14771 29542 44313 59084 88626 118168 177252 192023 236336 354504 384046 472672 576069 709008 768092 945344 1152138 1418016 1536184 2304276 2836032 3072368 4608552 6144736 9217104 12289472 18434208 36868416