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421100032 = 293143617
BaseRepresentation
bin11001000110010…
…111101000000000
31002100101002122111
4121012113220000
51330300200112
6105441345104
713302201613
oct3106275000
91070332574
10421100032
111a6777761
12b9038194
136931b622
143dcd817a
1526e805a7
hex19197a00

421100032 has 80 divisors (see below), whose sum is σ = 890157312. Its totient is φ = 198696960.

The previous prime is 421100011. The next prime is 421100033. The reversal of 421100032 is 230001124.

It is a junction number, because it is equal to n+sod(n) for n = 421099985 and 421100021.

It is not an unprimeable number, because it can be changed into a prime (421100033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 682188 + ... + 682804.

Almost surely, 2421100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445078656).

421100032 is an abundant number, since it is smaller than the sum of its proper divisors (469057280).

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

421100032 is an equidigital number, since it uses as much as digits as its factorization.

421100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 421100032 is about 20520.7220145881. The cubic root of 421100032 is about 749.5404782142.

Adding to 421100032 its reverse (230001124), we get a palindrome (651101156).

The spelling of 421100032 in words is "four hundred twenty-one million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 344 496 512 617 688 992 1234 1333 1376 1984 2468 2666 2752 3968 4936 5332 5504 7936 9872 10664 11008 15872 19127 19744 21328 22016 26531 38254 39488 42656 53062 76508 78976 85312 106124 153016 157952 170624 212248 306032 315904 341248 424496 612064 682496 822461 848992 1224128 1644922 1697984 2448256 3289844 3395968 4896512 6579688 6791936 9793024 13159376 13583872 26318752 52637504 105275008 210550016 421100032