Search a number
-
+
449946126 = 23272618363
BaseRepresentation
bin11010110100011…
…010001000001110
31011100122122001100
4122310122020032
51410141234001
6112351523530
714102323200
oct3264321016
91140578040
10449946126
11210a8a203
121068295a6
13722ab316
1443a86770
152977c586
hex1ad1a20e

449946126 has 72 divisors (see below), whose sum is σ = 1152776664. Its totient is φ = 126433440.

The previous prime is 449946113. The next prime is 449946131. The reversal of 449946126 is 621649944.

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 35 ways as a sum of consecutive naturals, for example, 49621 + ... + 57983.

It is an arithmetic number, because the mean of its divisors is an integer number (16010787).

Almost surely, 2449946126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449946126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576388332).

449946126 is an abundant number, since it is smaller than the sum of its proper divisors (702830538).

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

449946126 is a wasteful number, since it uses less digits than its factorization.

449946126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446 (or 8436 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 449946126 is about 21211.9335752307. The cubic root of 449946126 is about 766.2788503180.

It can be divided in two parts, 4499 and 46126, that added together give a 4-th power (50625 = 154).

The spelling of 449946126 in words is "four hundred forty-nine million, nine hundred forty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 366 427 441 549 854 882 1098 1281 2562 2989 3843 5978 7686 8363 8967 16726 17934 25089 26901 50178 53802 58541 75267 117082 150534 175623 351246 409787 510143 526869 819574 1020286 1053738 1229361 1530429 2458722 3060858 3571001 3688083 4591287 7142002 7376166 9182574 10713003 21426006 24997007 32139009 49994014 64278018 74991021 149982042 224973063 449946126