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1672646404 = 22114134
BaseRepresentation
bin110001110110010…
…1000111100000100
311022120101020111211
41203230220330010
511411144141104
6433550341204
756310155062
oct14354507404
94276336454
101672646404
11789190000
123a81ba804
132086c0000
1411c205032
159bc9de04
hex63b28f04

1672646404 has 75 divisors (see below), whose sum is σ = 3488133635. Its totient is φ = 701809680.

The previous prime is 1672646389. The next prime is 1672646407. The reversal of 1672646404 is 4046462761.

The square root of 1672646404 is 40898.

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

It can be written as a sum of positive squares in 2 ways, for example, as 829324804 + 843321600 = 28798^2 + 29040^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=143.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1672646407) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 128665102 + ... + 128665114.

Almost surely, 21672646404 is an apocalyptic number.

1672646404 is the 40898-th square number.

It is an amenable number.

1672646404 is an abundant number, since it is smaller than the sum of its proper divisors (1815487231).

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

1672646404 is an frugal number, since it uses more digits than its factorization.

1672646404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The cubic root of 1672646404 is about 1187.0473615843.

The spelling of 1672646404 in words is "one billion, six hundred seventy-two million, six hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1331 1573 1859 2197 2662 3146 3718 4394 5324 6292 7436 8788 14641 17303 20449 24167 28561 29282 34606 40898 48334 57122 58564 69212 81796 96668 114244 190333 224939 265837 314171 380666 449878 531674 628342 761332 899756 1063348 1256684 2474329 2924207 3455881 4948658 5848414 6911762 9897316 11696828 13823524 32166277 38014691 64332554 76029382 128665108 152058764 418161601 836323202 1672646404