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29906982 = 235759149
BaseRepresentation
bin111001000010…
…1100000100110
32002021102200000
41302011200212
530124010412
62545002130
7512130240
oct162054046
962242600
1029906982
1115977616
12a023346
136271851
143d87090
15295b4dc
hex1c85826

29906982 has 96 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8343648.

The previous prime is 29906959. The next prime is 29906983. The reversal of 29906982 is 28960992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29906983) 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, 200644 + ... + 200792.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 229906982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29906982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

29906982 is an abundant number, since it is smaller than the sum of its proper divisors (48717018).

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

29906982 is a wasteful number, since it uses less digits than its factorization.

29906982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29906982 is about 5468.7276399543. The cubic root of 29906982 is about 310.4017752737.

It can be divided in two parts, 299069 and 82, that added together give a triangular number (299151 = T773).

The spelling of 29906982 in words is "twenty-nine million, nine hundred six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 81 118 126 149 162 177 189 243 298 354 378 413 447 486 531 567 826 894 1043 1062 1134 1239 1341 1593 1701 2086 2478 2682 3129 3186 3402 3717 4023 4779 6258 7434 8046 8791 9387 9558 11151 12069 14337 17582 18774 22302 24138 26373 28161 28674 33453 36207 52746 56322 61537 66906 72414 79119 84483 100359 123074 158238 168966 184611 200718 237357 253449 369222 474714 506898 553833 712071 1107666 1424142 1661499 2136213 3322998 4272426 4984497 9968994 14953491 29906982