Search a number
-
+
29159424 = 212327113
BaseRepresentation
bin110111100111…
…1000000000000
32000212110012200
41233033000000
524431100144
62520553200
7502564620
oct157170000
960773180
1029159424
11155069a8
129922800
13606c4c8
143c30880
15285ec69
hex1bcf000

29159424 has 156 divisors (see below), whose sum is σ = 97112496. Its totient is φ = 8257536.

The previous prime is 29159419. The next prime is 29159443. The reversal of 29159424 is 42495192.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257992 + ... + 258104.

It is an arithmetic number, because the mean of its divisors is an integer number (622516).

Almost surely, 229159424 is an apocalyptic number.

29159424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29159424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48556248).

29159424 is an abundant number, since it is smaller than the sum of its proper divisors (67953072).

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

29159424 is a wasteful number, since it uses less digits than its factorization.

29159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 29159424 is about 5399.9466664033. The cubic root of 29159424 is about 307.7936437503.

The spelling of 29159424 in words is "twenty-nine million, one hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 113 126 128 144 168 192 224 226 252 256 288 336 339 384 448 452 504 512 576 672 678 768 791 896 904 1008 1017 1024 1152 1344 1356 1536 1582 1792 1808 2016 2034 2048 2304 2373 2688 2712 3072 3164 3584 3616 4032 4068 4096 4608 4746 5376 5424 6144 6328 7119 7168 7232 8064 8136 9216 9492 10752 10848 12288 12656 14238 14336 14464 16128 16272 18432 18984 21504 21696 25312 28476 28672 28928 32256 32544 36864 37968 43008 43392 50624 56952 57856 64512 65088 75936 86016 86784 101248 113904 115712 129024 130176 151872 173568 202496 227808 231424 258048 260352 303744 347136 404992 455616 462848 520704 607488 694272 809984 911232 1041408 1214976 1388544 1619968 1822464 2082816 2429952 3239936 3644928 4165632 4859904 7289856 9719808 14579712 29159424