Search a number
-
+
422549136 = 24345712
BaseRepresentation
bin11001001011111…
…001011010010000
31002110002201110000
4121023321122100
51331133033021
6105532410000
713320415452
oct3113713220
91073081400
10422549136
111a7577469
12b9616900
1369708099
14401942d2
1527169b26
hex192f9690

422549136 has 75 divisors (see below), whose sum is σ = 1225125363. Its totient is φ = 140603040.

The previous prime is 422549081. The next prime is 422549137. The reversal of 422549136 is 631945224.

It is a happy number.

The square root of 422549136 is 20556.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (51840) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 422549136.

It is not an unprimeable number, because it can be changed into a prime (422549137) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 739731 + ... + 740301.

Almost surely, 2422549136 is an apocalyptic number.

422549136 is the 20556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422549136

422549136 is an abundant number, since it is smaller than the sum of its proper divisors (802576227).

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

422549136 is an frugal number, since it uses more digits than its factorization.

422549136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 576 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 422549136 is about 750.3992754012.

Multiplying 422549136 by its sum of digits (36), we get a square (15211768896 = 1233362).

422549136 divided by its sum of digits (36) gives a square (11737476 = 34262).

It can be divided in two parts, 4225 and 49136, that added together give a square (53361 = 2312).

The spelling of 422549136 in words is "four hundred twenty-two million, five hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 571 648 1142 1296 1713 2284 3426 4568 5139 6852 9136 10278 13704 15417 20556 27408 30834 41112 46251 61668 82224 92502 123336 185004 246672 326041 370008 652082 740016 978123 1304164 1956246 2608328 2934369 3912492 5216656 5868738 7824984 8803107 11737476 15649968 17606214 23474952 26409321 35212428 46949904 52818642 70424856 105637284 140849712 211274568 422549136