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705476052 = 223231632147
BaseRepresentation
bin101010000011001…
…011010111010100
31211011110220012200
4222003023113110
52421100213202
6154000444500
723324306331
oct5203132724
91734426180
10705476052
1133224a666
12178319730
13b3208a68
14699a1988
1541e04e1c
hex2a0cb5d4

705476052 has 36 divisors (see below), whose sum is σ = 1840814976. Its totient is φ = 227572560.

The previous prime is 705476029. The next prime is 705476059. The reversal of 705476052 is 250674507.

705476052 is a `hidden beast` number, since 7 + 0 + 5 + 47 + 605 + 2 = 666.

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

It is a super-3 number, since 3×7054760523 (a number of 28 digits) contains 333 as substring.

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 = 705475998 and 705476016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705476059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314958 + ... + 317189.

Almost surely, 2705476052 is an apocalyptic number.

It is an amenable number.

705476052 is an abundant number, since it is smaller than the sum of its proper divisors (1135338924).

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

705476052 is a wasteful number, since it uses less digits than its factorization.

705476052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632188 (or 632183 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 705476052 is about 26560.7991596639. The cubic root of 705476052 is about 890.2133276447.

The spelling of 705476052 in words is "seven hundred five million, four hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 632147 1264294 1896441 2528588 3792882 5689323 7585764 11378646 19596557 22757292 39193114 58789671 78386228 117579342 176369013 235158684 352738026 705476052