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5246014608 = 2432195093767
BaseRepresentation
bin1001110001010111…
…11101010010010000
3111112121022011011100
410320223331102100
541220434431413
62224320144400
7244000250142
oct47053752220
914477264140
105246014608
11225226946a
121024a68100
13657b07273
1437aa20c92
1520a84ea73
hex138afd490

5246014608 has 120 divisors (see below), whose sum is σ = 15488740800. Its totient is φ = 1652942592.

The previous prime is 5246014607. The next prime is 5246014619. The reversal of 5246014608 is 8064106425.

5246014608 is a `hidden beast` number, since 5 + 2 + 4 + 601 + 46 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5246014601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390741 + ... + 1394507.

It is an arithmetic number, because the mean of its divisors is an integer number (129072840).

Almost surely, 25246014608 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 5246014608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744370400).

5246014608 is an abundant number, since it is smaller than the sum of its proper divisors (10242726192).

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

5246014608 is a wasteful number, since it uses less digits than its factorization.

5246014608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5246014608 is about 72429.3766920578. The cubic root of 5246014608 is about 1737.5734228966.

The spelling of 5246014608 in words is "five billion, two hundred forty-six million, fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 509 684 912 1018 1368 1527 2036 2736 3054 3767 4072 4581 6108 7534 8144 9162 9671 11301 12216 15068 18324 19342 22602 24432 29013 30136 33903 36648 38684 45204 58026 60272 67806 71573 73296 77368 87039 90408 116052 135612 143146 154736 174078 180816 214719 232104 271224 286292 348156 429438 464208 542448 572584 644157 696312 858876 1145168 1288314 1392624 1717752 1917403 2576628 3435504 3834806 5153256 5752209 7669612 10306512 11504418 15339224 17256627 23008836 30678448 34513254 36430657 46017672 69026508 72861314 92035344 109291971 138053016 145722628 218583942 276106032 291445256 327875913 437167884 582890512 655751826 874335768 1311503652 1748671536 2623007304 5246014608