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29838942 = 23573179
BaseRepresentation
bin111000111010…
…0111001011110
32002010222100000
41301310321132
530114321232
62543315130
7511425000
oct161647136
962128300
1029838942
1115930491
129babaa6
1362498a3
143d6a370
15294627c
hex1c74e5e

29838942 has 96 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 8477784.

The previous prime is 29838899. The next prime is 29838953. The reversal of 29838942 is 24983892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166609 + ... + 166787.

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

Almost surely, 229838942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29838942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

29838942 is an abundant number, since it is smaller than the sum of its proper divisors (48785058).

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

29838942 is an equidigital number, since it uses as much as digits as its factorization.

29838942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 29838942 is about 5462.5032723102. The cubic root of 29838942 is about 310.1662029332.

The spelling of 29838942 in words is "twenty-nine million, eight hundred thirty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 179 189 243 294 343 358 378 441 486 537 567 686 882 1029 1074 1134 1253 1323 1611 1701 2058 2506 2646 3087 3222 3402 3759 3969 4833 6174 7518 7938 8771 9261 9666 11277 11907 14499 17542 18522 22554 23814 26313 27783 28998 33831 43497 52626 55566 61397 67662 78939 83349 86994 101493 122794 157878 166698 184191 202986 236817 304479 368382 473634 552573 608958 710451 1105146 1420902 1657719 2131353 3315438 4262706 4973157 9946314 14919471 29838942