Search a number
-
+
738120864 = 25313591443
BaseRepresentation
bin101011111111101…
…101010010100000
31220102220102110210
4223333231102200
53002424331424
6201124254120
724201631605
oct5377552240
91812812423
10738120864
11349717148
12187241340
13b9bc8810
147005c6ac
1544c02729
hex2bfed4a0

738120864 has 48 divisors (see below), whose sum is σ = 2086614432. Its totient is φ = 227113728.

The previous prime is 738120839. The next prime is 738120893. The reversal of 738120864 is 468021837.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294474 + ... + 296969.

It is an arithmetic number, because the mean of its divisors is an integer number (43471134).

Almost surely, 2738120864 is an apocalyptic number.

It is an amenable number.

738120864 is an abundant number, since it is smaller than the sum of its proper divisors (1348493568).

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

738120864 is a wasteful number, since it uses less digits than its factorization.

738120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591469 (or 591461 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 738120864 is about 27168.3798560017. The cubic root of 738120864 is about 903.7378961857.

The spelling of 738120864 in words is "seven hundred thirty-eight million, one hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 591443 1182886 1774329 2365772 3548658 4731544 7097316 7688759 9463088 14194632 15377518 18926176 23066277 28389264 30755036 46132554 56778528 61510072 92265108 123020144 184530216 246040288 369060432 738120864