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406250000 = 245913
BaseRepresentation
bin11000001101101…
…110001000010000
31001022102122020022
4120031232020100
51313000000000
6104151203012
713032032222
oct3015561020
91038378208
10406250000
11199354702
12b4076468
136621c320
143bd50412
15259ea585
hex1836e210

406250000 has 100 divisors (see below), whose sum is σ = 1059570204. Its totient is φ = 150000000.

The previous prime is 406249981. The next prime is 406250041. The reversal of 406250000 is 52604.

It can be written as a sum of positive squares in 10 ways, for example, as 952576 + 405297424 = 976^2 + 20132^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 31249994 + ... + 31250006.

Almost surely, 2406250000 is an apocalyptic number.

406250000 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 406250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529785102).

406250000 is an abundant number, since it is smaller than the sum of its proper divisors (653320204).

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

406250000 is an frugal number, since it uses more digits than its factorization.

406250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 406250000 is about 20155.6443707464. The cubic root of 406250000 is about 740.6240171018.

The spelling of 406250000 in words is "four hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3125 3250 5000 5200 6250 6500 8125 10000 12500 13000 15625 16250 25000 26000 31250 32500 40625 50000 62500 65000 78125 81250 125000 130000 156250 162500 203125 250000 312500 325000 390625 406250 625000 650000 781250 812500 1015625 1250000 1562500 1625000 1953125 2031250 3125000 3250000 3906250 4062500 5078125 6250000 7812500 8125000 10156250 15625000 16250000 20312500 25390625 31250000 40625000 50781250 81250000 101562500 203125000 406250000