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29921472 = 2632741181
BaseRepresentation
bin111001000100…
…1000011000000
32002022011112200
41302021003000
530124441342
62545153200
7512220420
oct162110300
962264480
1029921472
1115987499
12a02b800
136278319
143d8c480
15296094c
hex1c890c0

29921472 has 168 divisors, whose sum is σ = 100961952. Its totient is φ = 8294400.

The previous prime is 29921467. The next prime is 29921473. The reversal of 29921472 is 27412992.

It is a tau number, because it is divible by the number of its divisors (168).

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 not an unprimeable number, because it can be changed into a prime (29921473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165222 + ... + 165402.

It is an arithmetic number, because the mean of its divisors is an integer number (600964).

Almost surely, 229921472 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 29921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50480976).

29921472 is an abundant number, since it is smaller than the sum of its proper divisors (71040480).

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

29921472 is a wasteful number, since it uses less digits than its factorization.

29921472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29921472 is about 5470.0522849421. The cubic root of 29921472 is about 310.4518972991.

The spelling of 29921472 in words is "twenty-nine million, nine hundred twenty-one thousand, four hundred seventy-two".