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29451072 = 2637171289
BaseRepresentation
bin111000001011…
…0001101000000
32001102021021110
41300112031000
530014413242
62531123320
7505221120
oct160261500
961367243
1029451072
1115696032
129a43540
136142191
143ca8c80
1528bb39c
hex1c16340

29451072 has 112 divisors (see below), whose sum is σ = 94366080. Its totient is φ = 7913472.

The previous prime is 29451031. The next prime is 29451073. The reversal of 29451072 is 27015492.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29451073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22204 + ... + 23492.

Almost surely, 229451072 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 29451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47183040).

29451072 is an abundant number, since it is smaller than the sum of its proper divisors (64915008).

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

29451072 is a wasteful number, since it uses less digits than its factorization.

29451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 29451072 is about 5426.8841889246. The cubic root of 29451072 is about 308.8164094119.

The spelling of 29451072 in words is "twenty-nine million, four hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1289 1344 1428 1632 1904 2578 2856 3264 3808 3867 5156 5712 7616 7734 9023 10312 11424 15468 18046 20624 21913 22848 27069 30936 36092 41248 43826 54138 61872 65739 72184 82496 87652 108276 123744 131478 144368 153391 175304 216552 247488 262956 288736 306782 350608 433104 460173 525912 577472 613564 701216 866208 920346 1051824 1227128 1402432 1732416 1840692 2103648 2454256 3681384 4207296 4908512 7362768 9817024 14725536 29451072