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421232032 = 25134124697
BaseRepresentation
bin11001000110110…
…111110110100000
31002100121210201101
4121012313312200
51330313411112
6105444244144
713303261504
oct3106676640
91070553641
10421232032
111a6857951
12b90a0654
1369366730
143dd30304
1526ea9757
hex191b7da0

421232032 has 48 divisors (see below), whose sum is σ = 914912712. Its totient is φ = 189665280.

The previous prime is 421232017. The next prime is 421232039. The reversal of 421232032 is 230232124.

It can be written as a sum of positive squares in 4 ways, for example, as 287505936 + 133726096 = 16956^2 + 11564^2 .

It is not an unprimeable number, because it can be changed into a prime (421232039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4708 + ... + 29404.

Almost surely, 2421232032 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 421232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457456356).

421232032 is an abundant number, since it is smaller than the sum of its proper divisors (493680680).

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

421232032 is a wasteful number, since it uses less digits than its factorization.

421232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24761 (or 24753 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 421232032 is about 20523.9380236835. The cubic root of 421232032 is about 749.6187881955.

Adding to 421232032 its reverse (230232124), we get a palindrome (651464156).

The spelling of 421232032 in words is "four hundred twenty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 24697 49394 98788 197576 321061 395152 642122 790304 1012577 1284244 2025154 2568488 4050308 5136976 8100616 10273952 13163501 16201232 26327002 32402464 52654004 105308008 210616016 421232032