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29207136 = 25373887
BaseRepresentation
bin110111101101…
…0101001100000
32000221212122210
41233122221200
524434112021
62522002120
7503154000
oct157325140
960855583
1029207136
1115539832
129946340
13608813a
143c44000
15286de76
hex1bdaa60

29207136 has 96 divisors (see below), whose sum is σ = 89510400. Its totient is φ = 8335488.

The previous prime is 29207117. The next prime is 29207137. The reversal of 29207136 is 63170292.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29207137) 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 15 ways as a sum of consecutive naturals, for example, 32485 + ... + 33371.

It is an arithmetic number, because the mean of its divisors is an integer number (932400).

Almost surely, 229207136 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 29207136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755200).

29207136 is an abundant number, since it is smaller than the sum of its proper divisors (60303264).

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

29207136 is an equidigital number, since it uses as much as digits as its factorization.

29207136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 29207136 is about 5404.3626821301. The cubic root of 29207136 is about 307.9614276765.

The spelling of 29207136 in words is "twenty-nine million, two hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 887 1029 1176 1372 1568 1774 2058 2352 2661 2744 3548 4116 4704 5322 5488 6209 7096 8232 10644 10976 12418 14192 16464 18627 21288 24836 28384 32928 37254 42576 43463 49672 74508 85152 86926 99344 130389 149016 173852 198688 260778 298032 304241 347704 521556 596064 608482 695408 912723 1043112 1216964 1390816 1825446 2086224 2433928 3650892 4172448 4867856 7301784 9735712 14603568 29207136