Search a number
-
+
29678532 = 223131719231
BaseRepresentation
bin111000100110…
…1101111000100
32001211211021220
41301031233010
530044203112
62540040340
7510156222
oct161155704
961754256
1029678532
1115830a14
129b330b0
1361c1880
143d27b12
15291398c
hex1c4dbc4

29678532 has 144 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 7879680.

The previous prime is 29678531. The next prime is 29678567. The reversal of 29678532 is 23587692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29678531) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 957357 + ... + 957387.

It is an arithmetic number, because the mean of its divisors is an integer number (597408).

Almost surely, 229678532 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 29678532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

29678532 is an abundant number, since it is smaller than the sum of its proper divisors (56348220).

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

29678532 is a wasteful number, since it uses less digits than its factorization.

29678532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 29678532 is about 5447.8006571460. The cubic root of 29678532 is about 309.6094005251.

The spelling of 29678532 in words is "twenty-nine million, six hundred seventy-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 19 26 31 34 38 39 51 52 57 62 68 76 78 93 102 114 124 156 186 204 221 228 247 323 361 372 403 442 494 527 589 646 663 722 741 806 884 969 988 1054 1083 1178 1209 1292 1326 1444 1482 1581 1612 1767 1938 2108 2166 2356 2418 2652 2964 3162 3534 3876 4199 4332 4693 4836 6137 6324 6851 7068 7657 8398 9386 10013 11191 12274 12597 13702 14079 15314 16796 18411 18772 20026 20553 22382 22971 24548 25194 27404 28158 30039 30628 33573 36822 40052 41106 44764 45942 50388 56316 60078 67146 73644 79781 82212 91884 120156 130169 134292 145483 159562 190247 239343 260338 290966 319124 380494 390507 436449 478686 520676 570741 581932 760988 781014 872898 957372 1141482 1562028 1745796 2282964 2473211 4946422 7419633 9892844 14839266 29678532