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29749284 = 223271103113
BaseRepresentation
bin111000101111…
…1000000100100
32001222102100100
41301133000210
530103434114
62541344100
7510602415
oct161370044
961872310
1029749284
111587a094
129b68030
136217b36
143d4580c
152929909
hex1c5f024

29749284 has 72 divisors (see below), whose sum is σ = 77680512. Its totient is φ = 9596160.

The previous prime is 29749283. The next prime is 29749339. The reversal of 29749284 is 48294792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29749283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263212 + ... + 263324.

It is an arithmetic number, because the mean of its divisors is an integer number (1078896).

Almost surely, 229749284 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 29749284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840256).

29749284 is an abundant number, since it is smaller than the sum of its proper divisors (47931228).

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

29749284 is a wasteful number, since it uses less digits than its factorization.

29749284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 29749284 is about 5454.2904213105. The cubic root of 29749284 is about 309.8552359117.

The spelling of 29749284 in words is "twenty-nine million, seven hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 103 113 142 206 213 226 284 309 339 412 426 452 618 639 678 852 927 1017 1236 1278 1356 1854 2034 2556 3708 4068 7313 8023 11639 14626 16046 21939 23278 24069 29252 32092 34917 43878 46556 48138 65817 69834 72207 87756 96276 104751 131634 139668 144414 209502 263268 288828 419004 826369 1652738 2479107 3305476 4958214 7437321 9916428 14874642 29749284