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29322972 = 2234721847
BaseRepresentation
bin110111111011…
…0111011011100
32001011202120000
41233312323130
530001313342
62524254300
7504145500
oct157667334
961152500
1029322972
1115608868
1299a1390
1360c8a93
143c74300
15289344c
hex1bf6edc

29322972 has 90 divisors (see below), whose sum is σ = 89219592. Its totient is φ = 8373456.

The previous prime is 29322961. The next prime is 29322989. The reversal of 29322972 is 27922392.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14953 + ... + 16799.

Almost surely, 229322972 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 29322972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44609796).

29322972 is an abundant number, since it is smaller than the sum of its proper divisors (59896620).

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

29322972 is a wasteful number, since it uses less digits than its factorization.

29322972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1859 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 29322972 is about 5415.0689746300. The cubic root of 29322972 is about 308.3680173953.

The spelling of 29322972 in words is "twenty-nine million, three hundred twenty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 1847 2268 2646 3694 3969 5292 5541 7388 7938 11082 12929 15876 16623 22164 25858 33246 38787 49869 51716 66492 77574 90503 99738 116361 149607 155148 181006 199476 232722 271509 299214 349083 362012 465444 543018 598428 698166 814527 1047249 1086036 1396332 1629054 2094498 2443581 3258108 4188996 4887162 7330743 9774324 14661486 29322972