Search a number
-
+
5214532800 = 263521086361
BaseRepresentation
bin1001101101100111…
…10111010011000000
3111110102001201020110
410312303313103000
541134410022200
62221233311320
7243135540351
oct46663672300
914412051213
105214532800
112236516744
121016405540
13651433989
14376787d28
15207bd1b50
hex136cf74c0

5214532800 has 84 divisors (see below), whose sum is σ = 17108028776. Its totient is φ = 1390540800.

The previous prime is 5214532769. The next prime is 5214532801. The reversal of 5214532800 is 82354125.

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 (5214532801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538381 + ... + 547980.

Almost surely, 25214532800 is an apocalyptic number.

5214532800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5214532800 is an abundant number, since it is smaller than the sum of its proper divisors (11893495976).

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

5214532800 is a wasteful number, since it uses less digits than its factorization.

5214532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086386 (or 1086371 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5214532800 is about 72211.7220401231. The cubic root of 5214532800 is about 1734.0906683964.

Adding to 5214532800 its reverse (82354125), we get a palindrome (5296886925).

The spelling of 5214532800 in words is "five billion, two hundred fourteen million, five hundred thirty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 1086361 2172722 3259083 4345444 5431805 6518166 8690888 10863610 13036332 16295415 17381776 21727220 26072664 27159025 32590830 34763552 43454440 52145328 54318050 65181660 69527104 81477075 86908880 104290656 108636100 130363320 162954150 173817760 208581312 217272200 260726640 325908300 347635520 434544400 521453280 651816600 869088800 1042906560 1303633200 1738177600 2607266400 5214532800