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404470100 = 2252191931103
BaseRepresentation
bin11000000110111…
…011100101010100
31001012002012200002
4120012323211110
51312021020400
6104045110432
713010640056
oct3006734524
91035065602
10404470100
11198349411
12b3558418
1365a48128
143ba098d6
1525797ed5
hex181bb954

404470100 has 72 divisors (see below), whose sum is σ = 929523840. Its totient is φ = 152340480.

The previous prime is 404470093. The next prime is 404470139. The reversal of 404470100 is 1074404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366149 + ... + 367251.

Almost surely, 2404470100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464761920).

404470100 is an abundant number, since it is smaller than the sum of its proper divisors (525053740).

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

404470100 is a wasteful number, since it uses less digits than its factorization.

404470100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 404470100 is about 20111.4420169216. The cubic root of 404470100 is about 739.5408034967.

The spelling of 404470100 in words is "four hundred four million, four hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 193 380 386 475 772 950 965 1103 1900 1930 2206 3667 3860 4412 4825 5515 7334 9650 11030 14668 18335 19300 20957 22060 27575 36670 41914 55150 73340 83828 91675 104785 110300 183350 209570 212879 366700 419140 425758 523925 851516 1047850 1064395 2095700 2128790 4044701 4257580 5321975 8089402 10643950 16178804 20223505 21287900 40447010 80894020 101117525 202235050 404470100