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29711268 = 22323179337
BaseRepresentation
bin111000101010…
…1101110100100
32001220111012100
41301111232210
530101230033
62540452100
7510353526
oct161255644
961814170
1029711268
1115853574
129b4a030
136203742
143d35a16
15291d513
hex1c55ba4

29711268 has 72 divisors (see below), whose sum is σ = 78740480. Its totient is φ = 9434880.

The previous prime is 29711267. The next prime is 29711273. The reversal of 29711268 is 86211792.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29711263) 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 23 ways as a sum of consecutive naturals, for example, 87996 + ... + 88332.

Almost surely, 229711268 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 29711268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39370240).

29711268 is an abundant number, since it is smaller than the sum of its proper divisors (49029212).

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

29711268 is a wasteful number, since it uses less digits than its factorization.

29711268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 29711268 is about 5450.8043443147. The cubic root of 29711268 is about 309.7231937670.

The spelling of 29711268 in words is "twenty-nine million, seven hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 79 93 124 158 186 237 279 316 337 372 474 558 674 711 948 1011 1116 1348 1422 2022 2449 2844 3033 4044 4898 6066 7347 9796 10447 12132 14694 20894 22041 26623 29388 31341 41788 44082 53246 62682 79869 88164 94023 106492 125364 159738 188046 239607 319476 376092 479214 825313 958428 1650626 2475939 3301252 4951878 7427817 9903756 14855634 29711268