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5425686240 = 253513869501
BaseRepresentation
bin1010000110110010…
…10110011011100000
3112000010101102022020
411003121112123200
542102433424430
62254215141440
7251311400142
oct50331263340
915003342266
105425686240
112334727417
121075074880
136860c4840
14396830c92
1521b4e0b10
hex1436566e0

5425686240 has 96 divisors (see below), whose sum is σ = 18405618336. Its totient is φ = 1335552000.

The previous prime is 5425686229. The next prime is 5425686257. The reversal of 5425686240 is 426865245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5425686192 and 5425686201.

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, 428511 + ... + 440990.

It is an arithmetic number, because the mean of its divisors is an integer number (191725191).

Almost surely, 25425686240 is an apocalyptic number.

It is an amenable number.

5425686240 is an abundant number, since it is smaller than the sum of its proper divisors (12979932096).

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

5425686240 is a wasteful number, since it uses less digits than its factorization.

5425686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869532 (or 869524 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 5425686240 is about 73659.2576666369. The cubic root of 5425686240 is about 1757.1879854325.

The spelling of 5425686240 in words is "five billion, four hundred twenty-five million, six hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 869501 1739002 2608503 3478004 4347505 5217006 6956008 8695010 10434012 11303513 13042515 13912016 17390020 20868024 22607026 26085030 27824032 33910539 34780040 41736048 45214052 52170060 56517565 67821078 69560080 83472096 90428104 104340120 113035130 135642156 139120160 169552695 180856208 208680240 226070260 271284312 339105390 361712416 417360480 452140520 542568624 678210780 904281040 1085137248 1356421560 1808562080 2712843120 5425686240