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29841408 = 211321619
BaseRepresentation
bin111000111010…
…1100000000000
32002011002201100
41301311200000
530114411113
62543334400
7511435122
oct161654000
962132640
1029841408
1115932323
129bb1400
13624aa4c
143d6b212
152946d73
hex1c75800

29841408 has 72 divisors (see below), whose sum is σ = 86240700. Its totient is φ = 9940992.

The previous prime is 29841401. The next prime is 29841421. The reversal of 29841408 is 80414892.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29841401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17623 + ... + 19241.

Almost surely, 229841408 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 29841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43120350).

29841408 is an abundant number, since it is smaller than the sum of its proper divisors (56399292).

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

29841408 is a wasteful number, since it uses less digits than its factorization.

29841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 29841408 is about 5462.7289883354. The cubic root of 29841408 is about 310.1747471234.

The spelling of 29841408 in words is "twenty-nine million, eight hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1619 2048 2304 3072 3238 4608 4857 6144 6476 9216 9714 12952 14571 18432 19428 25904 29142 38856 51808 58284 77712 103616 116568 155424 207232 233136 310848 414464 466272 621696 828928 932544 1243392 1657856 1865088 2486784 3315712 3730176 4973568 7460352 9947136 14920704 29841408