Search a number
-
+
52027680 = 25351071013
BaseRepresentation
bin1100011001111…
…0000100100000
310121220021120010
43012132010200
5101304341210
65055044520
71201141125
oct306360440
9117807503
1052027680
1127406191
1215510740
13aa18313
146ca474c
15487a920
hex319e120

52027680 has 96 divisors (see below), whose sum is σ = 165582144. Its totient is φ = 13730816.

The previous prime is 52027673. The next prime is 52027687. The reversal of 52027680 is 8672025.

It is an interprime number because it is at equal distance from previous prime (52027673) and next prime (52027687).

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 not an unprimeable number, because it can be changed into a prime (52027687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50854 + ... + 51866.

It is an arithmetic number, because the mean of its divisors is an integer number (1724814).

Almost surely, 252027680 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 52027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791072).

52027680 is an abundant number, since it is smaller than the sum of its proper divisors (113554464).

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

52027680 is a wasteful number, since it uses less digits than its factorization.

52027680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52027680 is about 7213.0215582653. The cubic root of 52027680 is about 373.3173320806.

The spelling of 52027680 in words is "fifty-two million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1013 1070 1284 1605 1712 2026 2140 2568 3039 3210 3424 4052 4280 5065 5136 6078 6420 8104 8560 10130 10272 12156 12840 15195 16208 17120 20260 24312 25680 30390 32416 40520 48624 51360 60780 81040 97248 108391 121560 162080 216782 243120 325173 433564 486240 541955 650346 867128 1083910 1300692 1625865 1734256 2167820 2601384 3251730 3468512 4335640 5202768 6503460 8671280 10405536 13006920 17342560 26013840 52027680