Search a number
-
+
783401216 = 2813235397
BaseRepresentation
bin101110101100011…
…100000100000000
32000121002220102212
4232230130010000
53101022314331
6205423001252
725261541363
oct5654340400
92017086385
10783401216
11372233a24
1219a439228
13c63c0920
14760880da
1548b98d2b
hex2eb1c100

783401216 has 36 divisors (see below), whose sum is σ = 1684037292. Its totient is φ = 361568256.

The previous prime is 783401189. The next prime is 783401231. The reversal of 783401216 is 612104387.

It can be written as a sum of positive squares in 2 ways, for example, as 233967616 + 549433600 = 15296^2 + 23440^2 .

It is a super-2 number, since 2×7834012162 = 1227434930460557312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114371 + ... + 121026.

Almost surely, 2783401216 is an apocalyptic number.

It is an amenable number.

783401216 is an abundant number, since it is smaller than the sum of its proper divisors (900636076).

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

783401216 is a wasteful number, since it uses less digits than its factorization.

783401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235426 (or 235412 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 783401216 is about 27989.3053861649. The cubic root of 783401216 is about 921.8524490065.

The spelling of 783401216 in words is "seven hundred eighty-three million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 235397 470794 941588 1883176 3060161 3766352 6120322 7532704 12240644 15065408 24481288 30130816 48962576 60261632 97925152 195850304 391700608 783401216