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29235072 = 273194007
BaseRepresentation
bin110111110000…
…1011110000000
32001000021222110
41233201132000
524441010242
62522335320
7503331306
oct157413600
961007873
1029235072
1115558819
12995a540
136097a79
143c50276
15287739c
hex1be1780

29235072 has 64 divisors (see below), whose sum is σ = 81763200. Its totient is φ = 9229824.

The previous prime is 29235071. The next prime is 29235079. The reversal of 29235072 is 27053292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29235071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5293 + ... + 9299.

It is an arithmetic number, because the mean of its divisors is an integer number (1277550).

Almost surely, 229235072 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 29235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40881600).

29235072 is an abundant number, since it is smaller than the sum of its proper divisors (52528128).

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

29235072 is a wasteful number, since it uses less digits than its factorization.

29235072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 29235072 is about 5406.9466429770. The cubic root of 29235072 is about 308.0595825586.

The spelling of 29235072 in words is "twenty-nine million, two hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 4007 7296 8014 12021 16028 24042 32056 48084 64112 76133 96168 128224 152266 192336 228399 256448 304532 384672 456798 512896 609064 769344 913596 1218128 1538688 1827192 2436256 3654384 4872512 7308768 9745024 14617536 29235072