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393466896 = 2434192292
BaseRepresentation
bin10111011100111…
…101010000010000
31000102101012010000
4113130331100100
51301211420041
6103013210000
712515261544
oct2734752020
91012335100
10393466896
11192113559
12ab930900
1363694a64
143a383a24
1524822bb6
hex1773d410

393466896 has 225 divisors, whose sum is σ = 1244773101. Its totient is φ = 119968128.

The previous prime is 393466889. The next prime is 393466903. The reversal of 393466896 is 698664393.

It is a happy number.

The square root of 393466896 is 19836.

It is a perfect power (a square), and thus also a powerful number.

393466896 is a `hidden beast` number, since 3 + 93 + 466 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (393466889) and next prime (393466903).

It can be written as a sum of positive squares in only one way, i.e., 206324496 + 187142400 = 14364^2 + 13680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13567810 + ... + 13567838.

Almost surely, 2393466896 is an apocalyptic number.

393466896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

393466896 is the 19836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393466896

393466896 is an abundant number, since it is smaller than the sum of its proper divisors (851306205).

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

393466896 is a wasteful number, since it uses less digits than its factorization.

393466896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 53 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The cubic root of 393466896 is about 732.7729003695.

The spelling of 393466896 in words is "three hundred ninety-three million, four hundred sixty-six thousand, eight hundred ninety-six".