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5250815928 = 23353721973
BaseRepresentation
bin1001110001111100…
…10001011110111000
3111112221100002100000
410320332101132320
541223202102203
62225011113000
7244056125151
oct47076213670
914487302300
105250815928
112254a487a6
1210265a2760
13658ac8797
1437b510928
1520ae9c4a3
hex138f917b8

5250815928 has 144 divisors (see below), whose sum is σ = 15164702280. Its totient is φ = 1702104192.

The previous prime is 5250815917. The next prime is 5250815939. The reversal of 5250815928 is 8295180525.

It is a happy number.

5250815928 is a `hidden beast` number, since 5 + 2 + 50 + 8 + 1 + 592 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5250815917) and next prime (5250815939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2660350 + ... + 2662322.

Almost surely, 25250815928 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 5250815928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582351140).

5250815928 is an abundant number, since it is smaller than the sum of its proper divisors (9913886352).

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

5250815928 is a wasteful number, since it uses less digits than its factorization.

5250815928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 5250815928 is about 72462.5139503178. The cubic root of 5250815928 is about 1738.1033554766.

The spelling of 5250815928 in words is "five billion, two hundred fifty million, eight hundred fifteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1369 1944 1973 1998 2664 2738 2997 3946 3996 4107 5476 5919 5994 7892 7992 8214 8991 10952 11838 11988 12321 15784 16428 17757 17982 23676 23976 24642 32856 35514 35964 36963 47352 49284 53271 71028 71928 73001 73926 98568 106542 110889 142056 146002 147852 159813 213084 219003 221778 292004 295704 319626 332667 426168 438006 443556 479439 584008 639252 657009 665334 876012 887112 958878 1278504 1314018 1330668 1752024 1917756 1971027 2628036 2661336 2701037 3835512 3942054 5256072 5402074 5913081 7884108 8103111 10804148 11826162 15768216 16206222 17739243 21608296 23652324 24309333 32412444 35478486 47304648 48618666 64824888 70956972 72927999 97237332 141913944 145855998 194474664 218783997 291711996 437567994 583423992 656351991 875135988 1312703982 1750271976 2625407964 5250815928