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29844282 = 23131771317
BaseRepresentation
bin111000111011…
…0001100111010
32002011020122210
41301312030322
530120004112
62543355550
7511446366
oct161661472
962136583
1029844282
11159344a6
129bb2bb6
13624c150
143d6c2a6
152947b3c
hex1c7633a

29844282 has 64 divisors (see below), whose sum is σ = 69237504. Its totient is φ = 8494080.

The previous prime is 29844263. The next prime is 29844293. The reversal of 29844282 is 28244892.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 29844282.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93988 + ... + 94304.

It is an arithmetic number, because the mean of its divisors is an integer number (1081836).

Almost surely, 229844282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29844282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752).

29844282 is an abundant number, since it is smaller than the sum of its proper divisors (39393222).

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

29844282 is a wasteful number, since it uses less digits than its factorization.

29844282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 73728, while the sum is 39.

The square root of 29844282 is about 5462.9920373363. The cubic root of 29844282 is about 310.1847043569.

The spelling of 29844282 in words is "twenty-nine million, eight hundred forty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 71 78 102 142 213 221 317 426 442 634 663 923 951 1207 1326 1846 1902 2414 2769 3621 4121 5389 5538 7242 8242 10778 12363 15691 16167 22507 24726 31382 32334 45014 47073 67521 70057 94146 135042 140114 210171 292591 382619 420342 585182 765238 877773 1147857 1755546 2295714 4974047 9948094 14922141 29844282