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29491128 = 233471641
BaseRepresentation
bin111000001111…
…1111110111000
32001111022020000
41300133332320
530022204003
62532033000
7505445652
oct160377670
961438200
1029491128
1115713137
129a62760
136157494
143cb96d2
1528c81a3
hex1c1ffb8

29491128 has 80 divisors (see below), whose sum is σ = 83896560. Its totient is φ = 9676800.

The previous prime is 29491069. The next prime is 29491139. The reversal of 29491128 is 82119492.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29491092 and 29491101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45688 + ... + 46328.

It is an arithmetic number, because the mean of its divisors is an integer number (1048707).

Almost surely, 229491128 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 29491128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41948280).

29491128 is an abundant number, since it is smaller than the sum of its proper divisors (54405432).

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

29491128 is a wasteful number, since it uses less digits than its factorization.

29491128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 717 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 29491128 is about 5430.5734503826. The cubic root of 29491128 is about 308.9563516441.

The spelling of 29491128 in words is "twenty-nine million, four hundred ninety-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 641 648 852 1278 1282 1704 1917 1923 2556 2564 3834 3846 5112 5128 5751 5769 7668 7692 11502 11538 15336 15384 17307 23004 23076 34614 45511 46008 46152 51921 69228 91022 103842 136533 138456 182044 207684 273066 364088 409599 415368 546132 819198 1092264 1228797 1638396 2457594 3276792 3686391 4915188 7372782 9830376 14745564 29491128