Search a number
-
+
481722132 = 2231729107761
BaseRepresentation
bin11100101101100…
…111111100010100
31020120110000112110
4130231213330110
51441310102012
6115444551020
714636366463
oct3455477424
91216400473
10481722132
11227a12a71
121153b2470
1378a557a8
1447d989da
152c45773c
hex1cb67f14

481722132 has 96 divisors (see below), whose sum is σ = 1244315520. Its totient is φ = 144363520.

The previous prime is 481722119. The next prime is 481722151. The reversal of 481722132 is 231227184.

It is a self number, because there is not a number n which added to its sum of digits gives 481722132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632632 + ... + 633392.

It is an arithmetic number, because the mean of its divisors is an integer number (12961620).

Almost surely, 2481722132 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 481722132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622157760).

481722132 is an abundant number, since it is smaller than the sum of its proper divisors (762593388).

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

481722132 is a wasteful number, since it uses less digits than its factorization.

481722132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 481722132 is about 21948.1692174997. The cubic root of 481722132 is about 783.9087882399.

The spelling of 481722132 in words is "four hundred eighty-one million, seven hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 107 116 174 204 214 321 348 428 493 642 761 986 1284 1479 1522 1819 1972 2283 2958 3044 3103 3638 4566 5457 5916 6206 7276 9132 9309 10914 12412 12937 18618 21828 22069 25874 37236 38811 44138 51748 52751 66207 77622 81427 88276 105502 132414 155244 158253 162854 211004 244281 264828 316506 325708 375173 488562 633012 750346 977124 1125519 1384259 1500692 2251038 2361383 2768518 4152777 4502076 4722766 5537036 7084149 8305554 9445532 14168298 16611108 28336596 40143511 80287022 120430533 160574044 240861066 481722132