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29073312 = 253229592
BaseRepresentation
bin110111011100…
…1111110100000
32000201002002100
41232321332200
524420321222
62515050400
7502055562
oct156717640
960632070
1029073312
1115458234
1298a0a00
13603c258
143c0b332
1528444ac
hex1bb9fa0

29073312 has 108 divisors (see below), whose sum is σ = 87002370. Its totient is φ = 9198336.

The previous prime is 29073301. The next prime is 29073329. The reversal of 29073312 is 21337092.

It can be written as a sum of positive squares in only one way, i.e., 24561936 + 4511376 = 4956^2 + 2124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 492739 + ... + 492797.

Almost surely, 229073312 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 29073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43501185).

29073312 is an abundant number, since it is smaller than the sum of its proper divisors (57929058).

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

29073312 is a wasteful number, since it uses less digits than its factorization.

29073312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 29073312 is about 5391.9673589516. The cubic root of 29073312 is about 307.4903586111.

The spelling of 29073312 in words is "twenty-nine million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 59 72 87 96 116 118 144 174 177 232 236 261 288 348 354 464 472 522 531 696 708 928 944 1044 1062 1392 1416 1711 1888 2088 2124 2784 2832 3422 3481 4176 4248 5133 5664 6844 6962 8352 8496 10266 10443 13688 13924 15399 16992 20532 20886 27376 27848 30798 31329 41064 41772 54752 55696 61596 62658 82128 83544 100949 111392 123192 125316 164256 167088 201898 246384 250632 302847 334176 403796 492768 501264 605694 807592 908541 1002528 1211388 1615184 1817082 2422776 3230368 3634164 4845552 7268328 9691104 14536656 29073312