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55434720 = 25351110499
BaseRepresentation
bin1101001101110…
…1110111100000
310212022101010210
43103131313200
5103142402340
65300054120
71242121155
oct323356740
9125271123
1055434720
1129322a20
1216694340
13b63c013
14751022c
154d00180
hex34ddde0

55434720 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 13437440.

The previous prime is 55434719. The next prime is 55434733. The reversal of 55434720 is 2743455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 10529.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 255434720 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 55434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

55434720 is an abundant number, since it is smaller than the sum of its proper divisors (135077280).

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

55434720 is a wasteful number, since it uses less digits than its factorization.

55434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 55434720 is about 7445.4496170480. The cubic root of 55434720 is about 381.2945690080.

The spelling of 55434720 in words is "fifty-five million, four hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 10499 20998 31497 41996 52495 62994 83992 104990 115489 125988 157485 167984 209980 230978 251976 314970 335968 346467 419960 461956 503952 577445 629940 692934 839920 923912 1007904 1154890 1259880 1385868 1679840 1732335 1847824 2309780 2519760 2771736 3464670 3695648 4619560 5039520 5543472 6929340 9239120 11086944 13858680 18478240 27717360 55434720