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29137812 = 223111072063
BaseRepresentation
bin110111100100…
…1101110010100
32000211100120020
41233021232110
524424402222
62520305140
7502444614
oct157115624
960740506
1029137812
11154a1740
1299121b0
136062712
143c26a44
15285865c
hex1bc9b94

29137812 has 48 divisors (see below), whose sum is σ = 74898432. Its totient is φ = 8742880.

The previous prime is 29137783. The next prime is 29137817. The reversal of 29137812 is 21873192.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29137817) 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, 13093 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 229137812 is an apocalyptic number.

29137812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29137812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449216).

29137812 is an abundant number, since it is smaller than the sum of its proper divisors (45760620).

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

29137812 is a wasteful number, since it uses less digits than its factorization.

29137812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 29137812 is about 5397.9451645974. The cubic root of 29137812 is about 307.7175828019.

The spelling of 29137812 in words is "twenty-nine million, one hundred thirty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2063 2354 3531 4126 4708 6189 7062 8252 12378 14124 22693 24756 45386 68079 90772 136158 220741 272316 441482 662223 882964 1324446 2428151 2648892 4856302 7284453 9712604 14568906 29137812