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29882412 = 2233729247
BaseRepresentation
bin111000111111…
…1100000101100
32002020011222000
41301333200230
530122214122
62544252300
7511665510
oct161774054
962204860
1029882412
111596010a
12a011090
136263601
143d7c140
1529540ac
hex1c7f82c

29882412 has 144 divisors (see below), whose sum is σ = 93649920. Its totient is φ = 8068032.

The previous prime is 29882389. The next prime is 29882417. The reversal of 29882412 is 21428892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29882417) 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, 635773 + ... + 635819.

Almost surely, 229882412 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 29882412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46824960).

29882412 is an abundant number, since it is smaller than the sum of its proper divisors (63767508).

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

29882412 is a wasteful number, since it uses less digits than its factorization.

29882412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 29882412 is about 5466.4807691969. The cubic root of 29882412 is about 310.3167487393.

The spelling of 29882412 in words is "twenty-nine million, eight hundred eighty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 47 54 58 63 84 87 94 108 116 126 141 174 188 189 203 252 261 282 329 348 378 406 423 522 564 609 658 756 783 812 841 846 987 1044 1218 1269 1316 1363 1566 1682 1692 1827 1974 2436 2523 2538 2726 2961 3132 3364 3654 3948 4089 5046 5076 5452 5481 5887 5922 7308 7569 8178 8883 9541 10092 10962 11774 11844 12267 15138 16356 17661 17766 19082 21924 22707 23548 24534 28623 30276 35322 35532 36801 38164 39527 45414 49068 52983 57246 70644 73602 79054 85869 90828 105966 114492 118581 147204 158108 158949 171738 211932 237162 257607 276689 317898 343476 355743 474324 515214 553378 635796 711486 830067 1030428 1067229 1106756 1422972 1660134 2134458 2490201 3320268 4268916 4980402 7470603 9960804 14941206 29882412