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29133552 = 2437312797
BaseRepresentation
bin110111100100…
…0101011110000
32000211010201110
41233020223300
524424233202
62520233320
7502426320
oct157105360
960733643
1029133552
1115499518
12990b840
1360607b6
143c25280
15285726c
hex1bc8af0

29133552 has 80 divisors (see below), whose sum is σ = 88819712. Its totient is φ = 8052480.

The previous prime is 29133509. The next prime is 29133569. The reversal of 29133552 is 25533192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9018 + ... + 11814.

Almost surely, 229133552 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 29133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44409856).

29133552 is an abundant number, since it is smaller than the sum of its proper divisors (59686160).

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

29133552 is a wasteful number, since it uses less digits than its factorization.

29133552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 29133552 is about 5397.5505555761. The cubic root of 29133552 is about 307.7025857849.

The spelling of 29133552 in words is "twenty-nine million, one hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 2797 3472 5208 5594 8391 10416 11188 16782 19579 22376 33564 39158 44752 58737 67128 78316 86707 117474 134256 156632 173414 234948 260121 313264 346828 469896 520242 606949 693656 939792 1040484 1213898 1387312 1820847 2080968 2427796 3641694 4161936 4855592 7283388 9711184 14566776 29133552