Search a number
-
+
4493734752 = 253133600749
BaseRepresentation
bin1000010111101100…
…01111001101100000
3102121011202101012110
410023312033031200
533200344003002
62021524155320
7216234054333
oct41366171540
912534671173
104493734752
1119a6661481
12a54b38b40
13567cc1b60
14308b5861a
151b47a1e6c
hex10bd8f360

4493734752 has 48 divisors (see below), whose sum is σ = 12703446000. Its totient is φ = 1382687232.

The previous prime is 4493734741. The next prime is 4493734757. The reversal of 4493734752 is 2574373944.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493734757) 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, 1799127 + ... + 1801622.

It is an arithmetic number, because the mean of its divisors is an integer number (264655125).

Almost surely, 24493734752 is an apocalyptic number.

It is an amenable number.

4493734752 is an abundant number, since it is smaller than the sum of its proper divisors (8209711248).

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

4493734752 is a wasteful number, since it uses less digits than its factorization.

4493734752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600775 (or 3600767 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The square root of 4493734752 is about 67035.3246579742. The cubic root of 4493734752 is about 1650.1970688403.

The spelling of 4493734752 in words is "four billion, four hundred ninety-three million, seven hundred thirty-four thousand, seven hundred fifty-two".

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 3600749 7201498 10802247 14402996 21604494 28805992 43208988 46809737 57611984 86417976 93619474 115223968 140429211 172835952 187238948 280858422 345671904 374477896 561716844 748955792 1123433688 1497911584 2246867376 4493734752