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29898072 = 2334293743
BaseRepresentation
bin111001000001…
…1010101011000
32002020222110000
41302003111120
530123214242
62544453000
7512062251
oct162032530
962228400
1029898072
1115970956
12a01a160
13626a789
143d83b28
152958a4c
hex1c83558

29898072 has 160 divisors (see below), whose sum is σ = 91040400. Its totient is φ = 9144576.

The previous prime is 29898049. The next prime is 29898079. The reversal of 29898072 is 27089892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29898079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 695283 + ... + 695325.

Almost surely, 229898072 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 29898072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45520200).

29898072 is an abundant number, since it is smaller than the sum of its proper divisors (61142328).

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

29898072 is a wasteful number, since it uses less digits than its factorization.

29898072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29898072 is about 5467.9129473685. The cubic root of 29898072 is about 310.3709468592.

The spelling of 29898072 in words is "twenty-nine million, eight hundred ninety-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 43 54 58 72 74 81 86 87 108 111 116 129 148 162 172 174 216 222 232 258 261 296 324 333 344 348 387 444 516 522 648 666 696 774 783 888 999 1032 1044 1073 1161 1247 1332 1548 1566 1591 1998 2088 2146 2322 2349 2494 2664 2997 3096 3132 3182 3219 3483 3741 3996 4292 4644 4698 4773 4988 5994 6264 6364 6438 6966 7482 7992 8584 9288 9396 9546 9657 9976 11223 11988 12728 12876 13932 14319 14964 18792 19092 19314 22446 23976 25752 27864 28638 28971 29928 33669 38184 38628 42957 44892 46139 57276 57942 67338 77256 85914 86913 89784 92278 101007 114552 115884 128871 134676 138417 171828 173826 184556 202014 231768 257742 269352 276834 343656 347652 369112 404028 415251 515484 553668 695304 808056 830502 1030968 1107336 1245753 1661004 2491506 3322008 3737259 4983012 7474518 9966024 14949036 29898072