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29661957 = 3413171657
BaseRepresentation
bin111000100100…
…1101100000101
32001210222120000
41301021230011
530043140312
62535431513
7510060003
oct161115405
961728500
1029661957
111581a516
129b25599
1361b7170
143d21a73
15290dadc
hex1c49b05

29661957 has 40 divisors (see below), whose sum is σ = 50555736. Its totient is φ = 17169408.

The previous prime is 29661953. The next prime is 29661967. The reversal of 29661957 is 75916692.

It is a happy number.

29661957 is a `hidden beast` number, since 29 + 6 + 619 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1846881 + 27815076 = 1359^2 + 5274^2 .

It is not a de Polignac number, because 29661957 - 22 = 29661953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29661953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17073 + ... + 18729.

Almost surely, 229661957 is an apocalyptic number.

29661957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29661957 is a deficient number, since it is larger than the sum of its proper divisors (20893779).

29661957 is a wasteful number, since it uses less digits than its factorization.

29661957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 29661957 is about 5446.2791885837. The cubic root of 29661957 is about 309.5517524419.

The spelling of 29661957 in words is "twenty-nine million, six hundred sixty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1657 1989 4971 5967 14913 17901 21541 28169 44739 64623 84507 134217 193869 253521 366197 581607 760563 1098591 1744821 2281689 3295773 9887319 29661957