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4542005000 = 23541369877
BaseRepresentation
bin1000011101011100…
…10111111100001000
3102201112120202112102
410032232113330020
533300223130000
62030410532532
7220361256041
oct41656277410
912645522472
104542005000
111a20930645
12a69137148
13574cc2b30
143113218c8
151b8b393d5
hex10eb97f08

4542005000 has 80 divisors (see below), whose sum is σ = 11460690780. Its totient is φ = 1677024000.

The previous prime is 4542004979. The next prime is 4542005023. The reversal of 4542005000 is 5002454.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2359433476 + 2182571524 = 48574^2 + 46718^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30062 + ... + 99938.

Almost surely, 24542005000 is an apocalyptic number.

4542005000 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 4542005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730345390).

4542005000 is an abundant number, since it is smaller than the sum of its proper divisors (6918685780).

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

4542005000 is a wasteful number, since it uses less digits than its factorization.

4542005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69916 (or 69897 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4542005000 is about 67394.3988770580. The cubic root of 4542005000 is about 1656.0846660641.

Adding to 4542005000 its reverse (5002454), we get a palindrome (4547007454).

The spelling of 4542005000 in words is "four billion, five hundred forty-two million, five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 32500 65000 69877 139754 279508 349385 559016 698770 908401 1397540 1746925 1816802 2795080 3493850 3633604 4542005 6987700 7267208 8734625 9084010 13975400 17469250 18168020 22710025 34938500 36336040 43673125 45420050 69877000 87346250 90840100 113550125 174692500 181680200 227100250 349385000 454200500 567750625 908401000 1135501250 2271002500 4542005000