[go: up one dir, main page]

Search a number
-
+
52272720 = 2432579919
BaseRepresentation
bin1100011101100…
…1111001010000
310122100201200200
43013121321100
5101340211340
65104215200
71203211413
oct307317120
9118321620
1052272720
11275632a5
121560a500
13aaa2a06
146d29b7a
1548c8330
hex31d9e50

52272720 has 120 divisors (see below), whose sum is σ = 177964800. Its totient is φ = 13747968.

The previous prime is 52272709. The next prime is 52272733. The reversal of 52272720 is 2727225.

It is a happy number.

52272720 is a `hidden beast` number, since 522 + 72 + 72 + 0 = 666.

52272720 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 56421 + ... + 57339.

It is an arithmetic number, because the mean of its divisors is an integer number (1483040).

Almost surely, 252272720 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 52272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88982400).

52272720 is an abundant number, since it is smaller than the sum of its proper divisors (125692080).

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

52272720 is a wasteful number, since it uses less digits than its factorization.

52272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 52272720 is about 7229.9875518565. The cubic root of 52272720 is about 373.9024977705.

Adding to 52272720 its reverse (2727225), we get a palindrome (54999945).

The spelling of 52272720 in words is "fifty-two million, two hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 919 948 1185 1264 1422 1580 1838 1896 2370 2757 2844 3160 3555 3676 3792 4595 4740 5514 5688 6320 7110 7352 8271 9190 9480 11028 11376 13785 14220 14704 16542 18380 18960 22056 27570 28440 33084 36760 41355 44112 55140 56880 66168 72601 73520 82710 110280 132336 145202 165420 217803 220560 290404 330840 363005 435606 580808 653409 661680 726010 871212 1089015 1161616 1306818 1452020 1742424 2178030 2613636 2904040 3267045 3484848 4356060 5227272 5808080 6534090 8712120 10454544 13068180 17424240 26136360 52272720