Search a number
-
+
742245444 = 2235763627
BaseRepresentation
bin101100001111011…
…100010001000100
31220201122222100000
4230033130101010
53010003323234
6201352521300
724251660613
oct5417342104
91821588300
10742245444
11350a83a96
121886b0230
13baa10cb5
147081387a
1545269899
hex2c3dc444

742245444 has 36 divisors (see below), whose sum is σ = 1945724144. Its totient is φ = 247414824.

The previous prime is 742245421. The next prime is 742245481. The reversal of 742245444 is 444542247.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 742245399 and 742245408.

It is an unprimeable number.

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, 380842 + ... + 382785.

Almost surely, 2742245444 is an apocalyptic number.

It is an amenable number.

742245444 is an abundant number, since it is smaller than the sum of its proper divisors (1203478700).

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

742245444 is a wasteful number, since it uses less digits than its factorization.

742245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763646 (or 763632 counting only the distinct ones).

The product of its digits is 143360, while the sum is 36.

The square root of 742245444 is about 27244.1818375961. The cubic root of 742245444 is about 905.4181167796.

The spelling of 742245444 in words is "seven hundred forty-two million, two hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 763627 1527254 2290881 3054508 4581762 6872643 9163524 13745286 20617929 27490572 41235858 61853787 82471716 123707574 185561361 247415148 371122722 742245444