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29012412 = 223112132953
BaseRepresentation
bin110111010101…
…1000110111100
32000120222112210
41232223012330
524411344122
62513500420
7501413202
oct156530674
960528483
1029012412
1115416500
129871710
13601a610
143bd3072
15283140c
hex1bab1bc

29012412 has 144 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 7687680.

The previous prime is 29012381. The next prime is 29012419. The reversal of 29012412 is 21421092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29012419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547378 + ... + 547430.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 229012412 is an apocalyptic number.

29012412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29012412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

29012412 is an abundant number, since it is smaller than the sum of its proper divisors (55447908).

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

29012412 is a wasteful number, since it uses less digits than its factorization.

29012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 29012412 is about 5386.3171091201. The cubic root of 29012412 is about 307.2755080368.

The spelling of 29012412 in words is "twenty-nine million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 53 58 66 78 87 106 116 121 132 143 156 159 174 212 242 286 318 319 348 363 377 429 484 572 583 636 638 689 726 754 858 957 1131 1166 1276 1378 1452 1508 1537 1573 1716 1749 1914 2067 2262 2332 2756 3074 3146 3498 3509 3828 4134 4147 4524 4611 4719 6148 6292 6413 6996 7018 7579 8268 8294 9222 9438 10527 12441 12826 14036 15158 16588 16907 18444 18876 19239 19981 21054 22737 24882 25652 30316 33814 38478 39962 42108 45474 45617 49764 50721 59943 67628 76956 79924 83369 90948 91234 101442 119886 136851 166738 182468 185977 202884 219791 239772 250107 273702 333476 371954 439582 500214 547404 557931 659373 743908 879164 1000428 1115862 1318746 2231724 2417701 2637492 4835402 7253103 9670804 14506206 29012412