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29988972 = 223213139461
BaseRepresentation
bin111001001100…
…1100001101100
32002102121010200
41302121201230
530134121342
62550433500
7512621256
oct162314154
962377120
1029988972
1115a23182
12a062890
13629cc70
143da8cd6
15297594c
hex1c9986c

29988972 has 72 divisors (see below), whose sum is σ = 82402320. Its totient is φ = 9141120.

The previous prime is 29988971. The next prime is 29988977. The reversal of 29988972 is 27988992.

It is not an unprimeable number, because it can be changed into a prime (29988971) 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, 64822 + ... + 65282.

Almost surely, 229988972 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 29988972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41201160).

29988972 is an abundant number, since it is smaller than the sum of its proper divisors (52413348).

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

29988972 is a wasteful number, since it uses less digits than its factorization.

29988972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 618 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 29988972 is about 5476.2187684569. The cubic root of 29988972 is about 310.6851719735.

The spelling of 29988972 in words is "twenty-nine million, nine hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 234 278 417 461 468 556 834 922 1251 1383 1668 1807 1844 2502 2766 3614 4149 5004 5421 5532 5993 7228 8298 10842 11986 16263 16596 17979 21684 23972 32526 35958 53937 64079 65052 71916 107874 128158 192237 215748 256316 384474 576711 768948 833027 1153422 1666054 2306844 2499081 3332108 4998162 7497243 9996324 14994486 29988972