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29984256 = 2935241
BaseRepresentation
bin111001001100…
…0011000000000
32002102100200000
41302120120000
530133444011
62550400000
7512601441
oct162303000
962370600
1029984256
1115a1a685
12a060000
13629aa83
143da72c8
152974356
hex1c98600

29984256 has 120 divisors (see below), whose sum is σ = 90114024. Its totient is φ = 9953280.

The previous prime is 29984183. The next prime is 29984257. The reversal of 29984256 is 65248992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29984257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124296 + ... + 124536.

Almost surely, 229984256 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 29984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057012).

29984256 is an abundant number, since it is smaller than the sum of its proper divisors (60129768).

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

29984256 is an frugal number, since it uses more digits than its factorization.

29984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 29984256 is about 5475.7881624475. The cubic root of 29984256 is about 310.6688852300.

The spelling of 29984256 in words is "twenty-nine million, nine hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 241 243 256 288 324 384 432 482 486 512 576 648 723 768 864 964 972 1152 1296 1446 1536 1728 1928 1944 2169 2304 2592 2892 3456 3856 3888 4338 4608 5184 5784 6507 6912 7712 7776 8676 10368 11568 13014 13824 15424 15552 17352 19521 20736 23136 26028 30848 31104 34704 39042 41472 46272 52056 58563 61696 62208 69408 78084 92544 104112 117126 123392 124416 138816 156168 185088 208224 234252 277632 312336 370176 416448 468504 555264 624672 832896 937008 1110528 1249344 1665792 1874016 2498688 3331584 3748032 4997376 7496064 9994752 14992128 29984256