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29125332 = 2234241373
BaseRepresentation
bin110111100011…
…0101011010100
32000210201110000
41233012223110
524424002312
62520131300
7502363335
oct157065324
960721400
1029125332
1115493325
129906b30
136059b32
143c2228c
152854adc
hex1bc6ad4

29125332 has 60 divisors (see below), whose sum is σ = 76660276. Its totient is φ = 9642240.

The previous prime is 29125331. The next prime is 29125351. The reversal of 29125332 is 23352192.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 10150596 = 4356^2 + 3186^2 .

It is a super-2 number, since 2×291253322 = 1696569928220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29125296 and 29125305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29125331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77898 + ... + 78270.

Almost surely, 229125332 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 29125332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330138).

29125332 is an abundant number, since it is smaller than the sum of its proper divisors (47534944).

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

29125332 is a wasteful number, since it uses less digits than its factorization.

29125332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 29125332 is about 5396.7890453491. The cubic root of 29125332 is about 307.6736437461.

The spelling of 29125332 in words is "twenty-nine million, one hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 373 482 723 746 964 1119 1446 1492 2169 2238 2892 3357 4338 4476 6507 6714 8676 10071 13014 13428 19521 20142 26028 30213 39042 40284 60426 78084 89893 120852 179786 269679 359572 539358 809037 1078716 1618074 2427111 3236148 4854222 7281333 9708444 14562666 29125332