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406625000 = 23563253
BaseRepresentation
bin11000001111001…
…001101011101000
31001100010200122012
4120033021223220
51313044000000
6104203215052
713035153425
oct3017115350
91040120565
10406625000
11199590421
12b4217488
1366320c12
143c00ad4c
1525a71735
hex183c9ae8

406625000 has 56 divisors (see below), whose sum is σ = 953308110. Its totient is φ = 162600000.

The previous prime is 406624993. The next prime is 406625017. The reversal of 406625000 is 526604.

It can be written as a sum of positive squares in 7 ways, for example, as 80389156 + 326235844 = 8966^2 + 18062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 123374 + ... + 126626.

Almost surely, 2406625000 is an apocalyptic number.

406625000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476654055).

406625000 is an abundant number, since it is smaller than the sum of its proper divisors (546683110).

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

406625000 is an frugal number, since it uses more digits than its factorization.

406625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 406625000 is about 20164.9448300758. The cubic root of 406625000 is about 740.8518313325.

The spelling of 406625000 in words is "four hundred six million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 3253 5000 6250 6506 12500 13012 15625 16265 25000 26024 31250 32530 62500 65060 81325 125000 130120 162650 325300 406625 650600 813250 1626500 2033125 3253000 4066250 8132500 10165625 16265000 20331250 40662500 50828125 81325000 101656250 203312500 406625000