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29372004 = 2233312283
BaseRepresentation
bin111000000001…
…0111001100100
32001021020211000
41300002321210
530004401004
62525313300
7504441444
oct160027144
961236730
1029372004
1115641692
129a05830
1361151ac
143c88124
1528a2c39
hex1c02e64

29372004 has 72 divisors (see below), whose sum is σ = 78963360. Its totient is φ = 9441360.

The previous prime is 29372003. The next prime is 29372009. The reversal of 29372004 is 40027392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (29372003) 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, 103647 + ... + 103929.

Almost surely, 229372004 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 29372004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481680).

29372004 is an abundant number, since it is smaller than the sum of its proper divisors (49591356).

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

29372004 is a wasteful number, since it uses less digits than its factorization.

29372004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29372004 is about 5419.5944497720. The cubic root of 29372004 is about 308.5397994477.

Adding to 29372004 its reverse (40027392), we get a palindrome (69399396).

The spelling of 29372004 in words is "twenty-nine million, three hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 283 372 558 566 837 849 961 1116 1132 1674 1698 1922 2547 2883 3348 3396 3844 5094 5766 7641 8649 8773 10188 11532 15282 17298 17546 25947 26319 30564 34596 35092 51894 52638 78957 103788 105276 157914 236871 271963 315828 473742 543926 815889 947484 1087852 1631778 2447667 3263556 4895334 7343001 9790668 14686002 29372004