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52277280 = 2535119901
BaseRepresentation
bin1100011101101…
…1000000100000
310122100221221120
43013123000200
5101340333110
65104252240
71203230616
oct307330040
9118327846
1052277280
1127566770
1215611080
13aaa4b03
146d2b6b6
1548c9870
hex31db020

52277280 has 96 divisors (see below), whose sum is σ = 179661888. Its totient is φ = 12672000.

The previous prime is 52277279. The next prime is 52277287. The reversal of 52277280 is 8277225.

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 (33).

It is not an unprimeable number, because it can be changed into a prime (52277287) 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, 330 + ... + 10230.

It is an arithmetic number, because the mean of its divisors is an integer number (1871478).

Almost surely, 252277280 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 52277280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89830944).

52277280 is an abundant number, since it is smaller than the sum of its proper divisors (127384608).

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

52277280 is a wasteful number, since it uses less digits than its factorization.

52277280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9922 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 52277280 is about 7230.3028982194. The cubic root of 52277280 is about 373.9133698902.

The spelling of 52277280 in words is "fifty-two million, two hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 9901 19802 29703 39604 49505 59406 79208 99010 108911 118812 148515 158416 198020 217822 237624 297030 316832 326733 396040 435644 475248 544555 594060 653466 792080 871288 950496 1089110 1188120 1306932 1584160 1633665 1742576 2178220 2376240 2613864 3267330 3485152 4356440 4752480 5227728 6534660 8712880 10455456 13069320 17425760 26138640 52277280