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435285072 = 24323022813
BaseRepresentation
bin11001111100011…
…110110001010000
31010100001202212100
4121330132301100
51342413110242
6111105400400
713533601455
oct3174366120
91110052770
10435285072
11203786132
12101939100
136c247041
1441b4b82c
152833354c
hex19f1ec50

435285072 has 30 divisors (see below), whose sum is σ = 1218194042. Its totient is φ = 145094976.

The previous prime is 435285061. The next prime is 435285077. The reversal of 435285072 is 270582534.

It can be written as a sum of positive squares in only one way, i.e., 425019456 + 10265616 = 20616^2 + 3204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (435285077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1511263 + ... + 1511550.

Almost surely, 2435285072 is an apocalyptic number.

It is an amenable number.

435285072 is an abundant number, since it is smaller than the sum of its proper divisors (782908970).

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

435285072 is a wasteful number, since it uses less digits than its factorization.

435285072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022827 (or 3022818 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 435285072 is about 20863.4865734373. The cubic root of 435285072 is about 757.8639652102.

The spelling of 435285072 in words is "four hundred thirty-five million, two hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3022813 6045626 9068439 12091252 18136878 24182504 27205317 36273756 48365008 54410634 72547512 108821268 145095024 217642536 435285072