Search a number
-
+
1772266132 = 227138358661
BaseRepresentation
bin110100110100010…
…1010001010010100
311120111211110002101
41221220222022110
512112200004012
6451505451444
761630004440
oct15150521224
94514743071
101772266132
1182a44185a
12415640b84
1322322c6b0
1412b537820
15a58cad57
hex69a2a294

1772266132 has 48 divisors (see below), whose sum is σ = 3863244672. Its totient is φ = 692657280.

The previous prime is 1772266117. The next prime is 1772266141. The reversal of 1772266132 is 2316622771.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1772266091 and 1772266100.

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 15 ways as a sum of consecutive naturals, for example, 882 + ... + 59542.

It is an arithmetic number, because the mean of its divisors is an integer number (80484264).

Almost surely, 21772266132 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 1772266132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931622336).

1772266132 is an abundant number, since it is smaller than the sum of its proper divisors (2090978540).

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

1772266132 is a wasteful number, since it uses less digits than its factorization.

1772266132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58768 (or 58766 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 1772266132 is about 42098.2913192448. The cubic root of 1772266132 is about 1210.1605169197.

The spelling of 1772266132 in words is "one billion, seven hundred seventy-two million, two hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 166 182 332 364 581 1079 1162 2158 2324 4316 7553 15106 30212 58661 117322 234644 410627 762593 821254 1525186 1642508 3050372 4868863 5338151 9737726 10676302 19475452 21352604 34082041 63295219 68164082 126590438 136328164 253180876 443066533 886133066 1772266132