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422432512 = 2841167241
BaseRepresentation
bin11001001011011…
…100111100000000
31002102212210110121
4121023130330000
51331120320022
6105530110024
713316421445
oct3113347400
91072783417
10422432512
111a74a7887
12b957b314
1369696c88
14401639cc
15271452c7
hex192dcf00

422432512 has 72 divisors (see below), whose sum is σ = 872559072. Its totient is φ = 203980800.

The previous prime is 422432501. The next prime is 422432539. The reversal of 422432512 is 215234224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1752712 + ... + 1752952.

It is an arithmetic number, because the mean of its divisors is an integer number (12118876).

Almost surely, 2422432512 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 422432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436279536).

422432512 is an abundant number, since it is smaller than the sum of its proper divisors (450126560).

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

422432512 is a wasteful number, since it uses less digits than its factorization.

422432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 422432512 is about 20553.1630655722. The cubic root of 422432512 is about 750.3302320559.

Adding to 422432512 its reverse (215234224), we get a palindrome (637666736).

The spelling of 422432512 in words is "four hundred twenty-two million, four hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 167 241 256 328 334 482 656 668 964 1312 1336 1928 2624 2672 3856 5248 5344 6847 7712 9881 10496 10688 13694 15424 19762 21376 27388 30848 39524 40247 42752 54776 61696 79048 80494 109552 158096 160988 219104 316192 321976 438208 632384 643952 876416 1264768 1287904 1650127 1752832 2529536 2575808 3300254 5151616 6600508 10303232 13201016 26402032 52804064 105608128 211216256 422432512