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2045475000 = 2332559091
BaseRepresentation
bin111100111101011…
…0111100010111000
312021112220220012100
41321322313202320
513142120200000
6534545343400
7101455151652
oct17172674270
95245826170
102045475000
1195a687708
12491037b60
13267a09c4a
141559356d2
15be896a00
hex79eb78b8

2045475000 has 144 divisors (see below), whose sum is σ = 6925103640. Its totient is φ = 545400000.

The previous prime is 2045474983. The next prime is 2045475011. The reversal of 2045475000 is 5745402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220455 + ... + 229545.

Almost surely, 22045475000 is an apocalyptic number.

2045475000 is a gapful number since it is divisible by the number (20) 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 2045475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462551820).

2045475000 is an abundant number, since it is smaller than the sum of its proper divisors (4879628640).

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

2045475000 is an equidigital number, since it uses as much as digits as its factorization.

2045475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2045475000 is about 45226.9278196076. The cubic root of 2045475000 is about 1269.3987275081.

The spelling of 2045475000 in words is "two billion, forty-five million, four hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3125 3750 4500 5000 5625 6250 7500 9000 9091 9375 11250 12500 15000 18182 18750 22500 25000 27273 28125 36364 37500 45000 45455 54546 56250 72728 75000 81819 90910 109092 112500 136365 163638 181820 218184 225000 227275 272730 327276 363640 409095 454550 545460 654552 681825 818190 909100 1090920 1136375 1363650 1636380 1818200 2045475 2272750 2727300 3272760 3409125 4090950 4545500 5454600 5681875 6818250 8181900 9091000 10227375 11363750 13636500 16363800 17045625 20454750 22727500 27273000 28409375 34091250 40909500 45455000 51136875 56818750 68182500 81819000 85228125 102273750 113637500 136365000 170456250 204547500 227275000 255684375 340912500 409095000 511368750 681825000 1022737500 2045475000