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857435472 = 24325954413
BaseRepresentation
bin110011000110110…
…110110101010000
32012202102020100100
4303012312311100
53224000413342
6221025452400
730151036605
oct6306666520
92182366310
10857435472
113aaaaaa63
121bb1a1100
1310884278a
1481c3a6ac
155041ee4c
hex331b6d50

857435472 has 30 divisors (see below), whose sum is σ = 2399628842. Its totient is φ = 285811776.

The previous prime is 857435471. The next prime is 857435473. The reversal of 857435472 is 274534758.

857435472 is a `hidden beast` number, since 8 + 574 + 3 + 5 + 4 + 72 = 666.

857435472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (857435471) and next prime (857435473).

It can be written as a sum of positive squares in only one way, i.e., 457275456 + 400160016 = 21384^2 + 20004^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857435471) 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, 2977063 + ... + 2977350.

Almost surely, 2857435472 is an apocalyptic number.

It is an amenable number.

857435472 is an abundant number, since it is smaller than the sum of its proper divisors (1542193370).

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

857435472 is a wasteful number, since it uses less digits than its factorization.

857435472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954427 (or 5954418 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 857435472 is about 29281.9991120825. Note that the first 3 decimals coincide. The cubic root of 857435472 is about 950.0223344703.

The spelling of 857435472 in words is "eight hundred fifty-seven million, four hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5954413 11908826 17863239 23817652 35726478 47635304 53589717 71452956 95270608 107179434 142905912 214358868 285811824 428717736 857435472