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29705052 = 223131723487
BaseRepresentation
bin111000101010…
…0001101011100
32001220011200010
41301110031130
530101030202
62540403220
7510326436
oct161241534
961804603
1029705052
1115849933
129b46510
136200970
143d33656
15291b76c
hex1c5435c

29705052 has 96 divisors (see below), whose sum is σ = 82639872. Its totient is φ = 8211456.

The previous prime is 29705023. The next prime is 29705057. The reversal of 29705052 is 25050792.

It is a happy number.

It is a super-2 number, since 2×297050522 = 1764780228645408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29705057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60753 + ... + 61239.

It is an arithmetic number, because the mean of its divisors is an integer number (860832).

Almost surely, 229705052 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 29705052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319936).

29705052 is an abundant number, since it is smaller than the sum of its proper divisors (52934820).

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

29705052 is a wasteful number, since it uses less digits than its factorization.

29705052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 29705052 is about 5450.2341234116. The cubic root of 29705052 is about 309.7015928304.

The spelling of 29705052 in words is "twenty-nine million, seven hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 487 598 663 782 884 897 974 1173 1196 1326 1461 1564 1794 1948 2346 2652 2922 3588 4692 5083 5844 6331 8279 10166 11201 12662 15249 16558 18993 20332 22402 24837 25324 30498 33116 33603 37986 44804 49674 60996 67206 75972 99348 107627 134412 145613 190417 215254 291226 322881 380834 430508 436839 571251 582452 645762 761668 873678 1142502 1291524 1747356 2285004 2475421 4950842 7426263 9901684 14852526 29705052