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53062080 = 2635311783
BaseRepresentation
bin1100101001101…
…0100111000000
310200211211111020
43022122213000
5102040441310
65133145440
71213006641
oct312324700
9120754436
1053062080
1127a52365
121592b280
13acbb0a6
1470936c8
1549d2170
hex329a9c0

53062080 has 112 divisors (see below), whose sum is σ = 174004224. Its totient is φ = 13685760.

The previous prime is 53062039. The next prime is 53062099. The reversal of 53062080 is 8026035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53062080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28869 + ... + 30651.

Almost surely, 253062080 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 53062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87002112).

53062080 is an abundant number, since it is smaller than the sum of its proper divisors (120942144).

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

53062080 is a wasteful number, since it uses less digits than its factorization.

53062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53062080 is about 7284.3723133843. The cubic root of 53062080 is about 375.7751787127.

The spelling of 53062080 in words is "fifty-three million, sixty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1783 1860 1984 2480 2976 3566 3720 4960 5349 5952 7132 7440 8915 9920 10698 14264 14880 17830 21396 26745 28528 29760 35660 42792 53490 55273 57056 71320 85584 106980 110546 114112 142640 165819 171168 213960 221092 276365 285280 331638 342336 427920 442184 552730 570560 663276 829095 855840 884368 1105460 1326552 1658190 1711680 1768736 2210920 2653104 3316380 3537472 4421840 5306208 6632760 8843680 10612416 13265520 17687360 26531040 53062080