Search a number
-
+
742705921 = 29376710331
BaseRepresentation
bin101100010001001…
…100101100000001
31220202112100222201
4230101030230001
53010113042141
6201410433201
724255616246
oct5421145401
91822470881
10742705921
11351268a51
12188892801
13bab42779
14708d35cd
154530b031
hex2c44cb01

742705921 has 16 divisors (see below), whose sum is σ = 800936640. Its totient is φ = 687234240.

The previous prime is 742705913. The next prime is 742705993. The reversal of 742705921 is 129507247.

It is a cyclic number.

It is not a de Polignac number, because 742705921 - 23 = 742705913 is a prime.

It is a super-2 number, since 2×7427059212 = 1103224170176916482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742705021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66726 + ... + 77056.

It is an arithmetic number, because the mean of its divisors is an integer number (50058540).

Almost surely, 2742705921 is an apocalyptic number.

It is an amenable number.

742705921 is a deficient number, since it is larger than the sum of its proper divisors (58230719).

742705921 is a wasteful number, since it uses less digits than its factorization.

742705921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 742705921 is about 27252.6314509260. The cubic root of 742705921 is about 905.6053136309.

The spelling of 742705921 in words is "seven hundred forty-two million, seven hundred five thousand, nine hundred twenty-one".

Divisors: 1 29 37 67 1073 1943 2479 10331 71891 299599 382247 692177 11085163 20073133 25610549 742705921