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29661996 = 223713231181
BaseRepresentation
bin111000100100…
…1101100101100
32001210222121110
41301021230230
530043140441
62535432020
7510060060
oct161115454
961728543
1029661996
111581a551
129b25610
1361b71a0
143d21aa0
15290db16
hex1c49b2c

29661996 has 96 divisors (see below), whose sum is σ = 88962048. Its totient is φ = 7476480.

The previous prime is 29661979. The next prime is 29661997. The reversal of 29661996 is 69916692.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29661997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24526 + ... + 25706.

It is an arithmetic number, because the mean of its divisors is an integer number (926688).

Almost surely, 229661996 is an apocalyptic number.

29661996 is a gapful number since it is divisible by the number (26) 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 29661996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44481024).

29661996 is an abundant number, since it is smaller than the sum of its proper divisors (59300052).

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

29661996 is a wasteful number, since it uses less digits than its factorization.

29661996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its digits is 314928, while the sum is 48.

The square root of 29661996 is about 5446.2827690086. The cubic root of 29661996 is about 309.5518881097.

The spelling of 29661996 in words is "twenty-nine million, six hundred sixty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1181 1196 1794 1932 2093 2362 3543 3588 4186 4724 6279 7086 8267 8372 12558 14172 15353 16534 24801 25116 27163 30706 33068 46059 49602 54326 61412 81489 92118 99204 107471 108652 162978 184236 190141 214942 322413 325956 353119 380282 429884 570423 644826 706238 760564 1059357 1140846 1289652 1412476 2118714 2281692 2471833 4237428 4943666 7415499 9887332 14830998 29661996