Search a number
-
+
29944242 = 2341783131
BaseRepresentation
bin111001000111…
…0100110110010
32002100022210000
41302032212302
530131203432
62545450430
7512343666
oct162164662
962308700
1029944242
11159a2609
12a040a16
1362857b3
143d968a6
15296757c
hex1c8e9b2

29944242 has 80 divisors (see below), whose sum is σ = 72448992. Its totient is φ = 9210240.

The previous prime is 29944237. The next prime is 29944253. The reversal of 29944242 is 24244992.

It is a junction number, because it is equal to n+sod(n) for n = 29944197 and 29944206.

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 39 ways as a sum of consecutive naturals, for example, 228517 + ... + 228647.

Almost surely, 229944242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29944242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224496).

29944242 is an abundant number, since it is smaller than the sum of its proper divisors (42504750).

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

29944242 is a wasteful number, since it uses less digits than its factorization.

29944242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 29944242 is about 5472.1332220625. The cubic root of 29944242 is about 310.5306277986.

The spelling of 29944242 in words is "twenty-nine million, nine hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 83 102 131 153 162 166 249 262 306 393 459 498 747 786 918 1179 1377 1411 1494 2227 2241 2358 2754 2822 3537 4233 4454 4482 6681 6723 7074 8466 10611 10873 12699 13362 13446 20043 21222 21746 25398 32619 38097 40086 60129 65238 76194 97857 114291 120258 180387 184841 195714 228582 293571 360774 369682 554523 587142 880713 1109046 1663569 1761426 3327138 4990707 9981414 14972121 29944242