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52809680 = 2457118573
BaseRepresentation
bin1100100101110…
…0111111010000
310200101000021002
43021130333100
5102004402210
65123521132
71210606040
oct311347720
9120330232
1052809680
112789a770
12158291a8
13ac30241
147029720
1549824a5
hex325cfd0

52809680 has 80 divisors (see below), whose sum is σ = 153097344. Its totient is φ = 16458240.

The previous prime is 52809649. The next prime is 52809697. The reversal of 52809680 is 8690825.

It is a tau number, because it is divible by the number of its divisors (80).

52809680 is a modest number, since divided by 9680 gives 5280 as remainder.

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, 1874 + ... + 10446.

Almost surely, 252809680 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 52809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76548672).

52809680 is an abundant number, since it is smaller than the sum of its proper divisors (100287664).

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

52809680 is a wasteful number, since it uses less digits than its factorization.

52809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 52809680 is about 7267.0269023859. The cubic root of 52809680 is about 375.1784158414.

The spelling of 52809680 in words is "fifty-two million, eight hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 8573 17146 34292 42865 60011 68584 85730 94303 120022 137168 171460 188606 240044 300055 342920 377212 471515 480088 600110 660121 685840 754424 943030 960176 1200220 1320242 1508848 1886060 2400440 2640484 3300605 3772120 4800880 5280968 6601210 7544240 10561936 13202420 26404840 52809680