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29747124 = 22321126829
BaseRepresentation
bin111000101111…
…0011110110100
32001222022101100
41301132132310
530103401444
62541330100
7510563211
oct161363664
961868340
1029747124
1115878500
129b66930
136216b64
143d44b08
152928e69
hex1c5e7b4

29747124 has 54 divisors (see below), whose sum is σ = 82663490. Its totient is φ = 9012960.

The previous prime is 29747071. The next prime is 29747143. The reversal of 29747124 is 42174792.

It can be written as a sum of positive squares in only one way, i.e., 25826724 + 3920400 = 5082^2 + 1980^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 942 + ... + 7770.

Almost surely, 229747124 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 29747124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41331745).

29747124 is an abundant number, since it is smaller than the sum of its proper divisors (52916366).

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

29747124 is a wasteful number, since it uses less digits than its factorization.

29747124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6845 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 29747124 is about 5454.0924084581. The cubic root of 29747124 is about 309.8477365323.

The spelling of 29747124 in words is "twenty-nine million, seven hundred forty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6829 13658 20487 27316 40974 61461 75119 81948 122922 150238 225357 245844 300476 450714 676071 826309 901428 1352142 1652618 2478927 2704284 3305236 4957854 7436781 9915708 14873562 29747124