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55333152 = 2533721307
BaseRepresentation
bin1101001100010…
…1000100100000
310212010012211000
43103011010200
5103131130102
65253552000
71241216100
oct323050440
9125105730
1055333152
1129263686
1216645600
13b604a14
1474c5200
154cd001c
hex34c5120

55333152 has 144 divisors (see below), whose sum is σ = 187881120. Its totient is φ = 15797376.

The previous prime is 55333141. The next prime is 55333199. The reversal of 55333152 is 25133355.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41683 + ... + 42989.

It is an arithmetic number, because the mean of its divisors is an integer number (1304730).

Almost surely, 255333152 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 55333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93940560).

55333152 is an abundant number, since it is smaller than the sum of its proper divisors (132547968).

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

55333152 is a wasteful number, since it uses less digits than its factorization.

55333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1319 counting only the distinct ones).

The product of its digits is 6750, while the sum is 27.

The square root of 55333152 is about 7438.6256795190. The cubic root of 55333152 is about 381.0615561773.

The spelling of 55333152 in words is "fifty-five million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1307 1323 1512 1568 1764 2016 2352 2614 2646 3024 3528 3921 4704 5228 5292 6048 7056 7842 9149 10456 10584 11763 14112 15684 18298 20912 21168 23526 27447 31368 35289 36596 41824 42336 47052 54894 62736 64043 70578 73192 82341 94104 109788 125472 128086 141156 146384 164682 188208 192129 219576 247023 256172 282312 292768 329364 376416 384258 439152 494046 512344 564624 576387 658728 768516 878304 988092 1024688 1129248 1152774 1317456 1537032 1729161 1976184 2049376 2305548 2634912 3074064 3458322 3952368 4611096 6148128 6916644 7904736 9222192 13833288 18444384 27666576 55333152