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29991016 = 23113761151
BaseRepresentation
bin111001001101…
…0000001101000
32002102200221101
41302122001220
530134203031
62550451144
7512630236
oct162320150
962380841
1029991016
1115a24770
12a063ab4
1362a0b83
143da9956
152976361
hex1c9a068

29991016 has 64 divisors (see below), whose sum is σ = 64460160. Its totient is φ = 12960000.

The previous prime is 29991001. The next prime is 29991019. The reversal of 29991016 is 61019992.

It is a super-2 number, since 2×299910162 = 1798922081424512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29991019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198541 + ... + 198691.

It is an arithmetic number, because the mean of its divisors is an integer number (1007190).

Almost surely, 229991016 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 29991016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230080).

29991016 is an abundant number, since it is smaller than the sum of its proper divisors (34469144).

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

29991016 is a wasteful number, since it uses less digits than its factorization.

29991016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 29991016 is about 5476.4053903998. The cubic root of 29991016 is about 310.6922304133.

The spelling of 29991016 in words is "twenty-nine million, nine hundred ninety-one thousand, sixteen".

Divisors: 1 2 4 8 11 22 37 44 61 74 88 122 148 151 244 296 302 407 488 604 671 814 1208 1342 1628 1661 2257 2684 3256 3322 4514 5368 5587 6644 9028 9211 11174 13288 18056 18422 22348 24827 36844 44696 49654 61457 73688 99308 101321 122914 198616 202642 245828 340807 405284 491656 681614 810568 1363228 2726456 3748877 7497754 14995508 29991016