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816087104 = 2672379201
BaseRepresentation
bin110000101001001…
…000000001000000
32002212121112001022
4300221020001000
53132404241404
6212551325012
726136424460
oct6051100100
92085545038
10816087104
11389729358
121a9380768
131000c62a1
147a555ba0
154b9a38be
hex30a48040

816087104 has 56 divisors (see below), whose sum is σ = 1931261568. Its totient is φ = 334540800.

The previous prime is 816087101. The next prime is 816087113. The reversal of 816087104 is 401780618.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×8160871042 = 1331996322630213632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816087101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29297 + ... + 49904.

Almost surely, 2816087104 is an apocalyptic number.

It is an amenable number.

816087104 is an abundant number, since it is smaller than the sum of its proper divisors (1115174464).

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

816087104 is a wasteful number, since it uses less digits than its factorization.

816087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79243 (or 79233 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 816087104 is about 28567.2382984425. The cubic root of 816087104 is about 934.4989943672.

The spelling of 816087104 in words is "eight hundred sixteen million, eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 79201 158402 316804 554407 633608 1108814 1267216 1821623 2217628 2534432 3643246 4435256 5068864 7286492 8870512 12751361 14572984 17741024 25502722 29145968 35482048 51005444 58291936 102010888 116583872 204021776 408043552 816087104