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53050080 = 2535791399
BaseRepresentation
bin1100101001011…
…1101011100000
310200211020000210
43022113223200
5102040100310
65133014120
71212626646
oct312275340
9120736023
1053050080
1127a44346
1215924340
13acb57a5
14708d196
1549cd820
hex3297ae0

53050080 has 96 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 13957632.

The previous prime is 53050073. The next prime is 53050093. The reversal of 53050080 is 8005035.

53050080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37221 + ... + 38619.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 253050080 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 53050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

53050080 is an abundant number, since it is smaller than the sum of its proper divisors (116293920).

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

53050080 is a wasteful number, since it uses less digits than its factorization.

53050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53050080 is about 7283.5485856827. The cubic root of 53050080 is about 375.7468493664.

The spelling of 53050080 in words is "fifty-three million, fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1399 1580 1896 2370 2528 2798 3160 3792 4197 4740 5596 6320 6995 7584 8394 9480 11192 12640 13990 16788 18960 20985 22384 27980 33576 37920 41970 44768 55960 67152 83940 110521 111920 134304 167880 221042 223840 331563 335760 442084 552605 663126 671520 884168 1105210 1326252 1657815 1768336 2210420 2652504 3315630 3536672 4420840 5305008 6631260 8841680 10610016 13262520 17683360 26525040 53050080