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55334448 = 24331359167
BaseRepresentation
bin1101001100010…
…1011000110000
310212010021121000
43103011120300
5103131200243
65254002000
71241222631
oct323053060
9125107530
1055334448
1129264654
1216646300
13b6054a0
1474c5888
154cd05d3
hex34c5630

55334448 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 16637184.

The previous prime is 55334443. The next prime is 55334483. The reversal of 55334448 is 84443355.

It is a super-2 number, since 2×553344482 = 6123802270929408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (115200) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (55334443) 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 31 ways as a sum of consecutive naturals, for example, 331261 + ... + 331427.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 255334448 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 55334448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

55334448 is an abundant number, since it is smaller than the sum of its proper divisors (119654352).

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

55334448 is a wasteful number, since it uses less digits than its factorization.

55334448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 55334448 is about 7438.7127918747. The cubic root of 55334448 is about 381.0645311986.

The spelling of 55334448 in words is "fifty-five million, three hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 59 72 78 104 108 117 118 144 156 167 177 208 216 234 236 312 334 351 354 432 468 472 501 531 624 668 702 708 767 936 944 1002 1062 1336 1404 1416 1503 1534 1593 1872 2004 2124 2171 2301 2672 2808 2832 3006 3068 3186 4008 4248 4342 4509 4602 5616 6012 6136 6372 6513 6903 8016 8496 8684 9018 9204 9853 12024 12272 12744 13026 13806 17368 18036 18408 19539 19706 20709 24048 25488 26052 27612 29559 34736 36072 36816 39078 39412 41418 52104 55224 58617 59118 72144 78156 78824 82836 88677 104208 110448 117234 118236 128089 156312 157648 165672 177354 234468 236472 256178 266031 312624 331344 354708 384267 468936 472944 512356 532062 709416 768534 937872 1024712 1064124 1152801 1418832 1537068 2049424 2128248 2305602 3074136 3458403 4256496 4611204 6148272 6916806 9222408 13833612 18444816 27667224 55334448