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5142627048 = 23313411932083
BaseRepresentation
bin1001100101000011…
…00100001011101000
3111021101202112002110
410302201210023220
541013003031143
62210144202320
7241303415526
oct46241441350
914241675073
105142627048
1121a99738a9
12bb63093a0
1363c5788b0
1436adcb316
1520172b533
hex1328642e8

5142627048 has 128 divisors (see below), whose sum is σ = 14263562880. Its totient is φ = 1535016960.

The previous prime is 5142627023. The next prime is 5142627067. The reversal of 5142627048 is 8407262415.

It is a super-2 number, since 2×51426270482 = 52893225909642388608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5142626997 and 5142627015.

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 31 ways as a sum of consecutive naturals, for example, 2467815 + ... + 2469897.

It is an arithmetic number, because the mean of its divisors is an integer number (111434085).

Almost surely, 25142627048 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 5142627048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131781440).

5142627048 is an abundant number, since it is smaller than the sum of its proper divisors (9120935832).

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

5142627048 is a wasteful number, since it uses less digits than its factorization.

5142627048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 5142627048 is about 71712.1122823753. The cubic root of 5142627048 is about 1726.0830051917.

The spelling of 5142627048 in words is "five billion, one hundred forty-two million, six hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 193 246 312 328 386 492 533 579 772 984 1066 1158 1544 1599 2083 2132 2316 2509 3198 4166 4264 4632 5018 6249 6396 7527 7913 8332 10036 12498 12792 15054 15826 16664 20072 23739 24996 27079 30108 31652 47478 49992 54158 60216 63304 81237 85403 94956 102869 108316 162474 170806 189912 205738 216632 256209 308607 324948 341612 402019 411476 512418 617214 649896 683224 804038 822952 1024836 1110239 1206057 1234428 1608076 2049672 2220478 2412114 2468856 3216152 3330717 4440956 4824228 5226247 6661434 8881912 9648456 10452494 13322868 15678741 16482779 20904988 26645736 31357482 32965558 41809976 49448337 62714964 65931116 98896674 125429928 131862232 197793348 214276127 395586696 428552254 642828381 857104508 1285656762 1714209016 2571313524 5142627048