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4202431000 = 235317092459
BaseRepresentation
bin1111101001111100…
…0000001000011000
3101211212121121120121
43322133000020120
532101310243000
61533000403024
7206066034265
oct37237001030
911755547517
104202431000
111867187679
12993476474
1351c84a381
142bc1aa26c
15198e0eb1a
hexfa7c0218

4202431000 has 64 divisors (see below), whose sum is σ = 9843444000. Its totient is φ = 1679305600.

The previous prime is 4202430949. The next prime is 4202431061. The reversal of 4202431000 is 1342024.

It is a super-2 number, since 2×42024310002 = 35320852619522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707771 + ... + 1710229.

Almost surely, 24202431000 is an apocalyptic number.

4202431000 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 4202431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921722000).

4202431000 is an abundant number, since it is smaller than the sum of its proper divisors (5641013000).

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

4202431000 is a wasteful number, since it uses less digits than its factorization.

4202431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4202431000 is about 64826.1598430757. The cubic root of 4202431000 is about 1613.7398752735.

Adding to 4202431000 its reverse (1342024), we get a palindrome (4203773024).

The spelling of 4202431000 in words is "four billion, two hundred two million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1709 2459 3418 4918 6836 8545 9836 12295 13672 17090 19672 24590 34180 42725 49180 61475 68360 85450 98360 122950 170900 213625 245900 307375 341800 427250 491800 614750 854500 1229500 1709000 2459000 4202431 8404862 16809724 21012155 33619448 42024310 84048620 105060775 168097240 210121550 420243100 525303875 840486200 1050607750 2101215500 4202431000