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2093052468 = 22313531491699
BaseRepresentation
bin111110011000001…
…0111001000110100
312101212110002012210
41330300113020310
513241310134333
6543405213420
7102603436533
oct17460271064
95355402183
102093052468
11984523331
124a4b61270
132748277b0
1415bd9c31a
15c3b43a63
hex7cc17234

2093052468 has 96 divisors (see below), whose sum is σ = 5397840000. Its totient is φ = 627254784.

The previous prime is 2093052449. The next prime is 2093052469. The reversal of 2093052468 is 8642503902.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093052469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231083 + ... + 1232781.

It is an arithmetic number, because the mean of its divisors is an integer number (56227500).

Almost surely, 22093052468 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 2093052468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698920000).

2093052468 is an abundant number, since it is smaller than the sum of its proper divisors (3304787532).

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

2093052468 is a wasteful number, since it uses less digits than its factorization.

2093052468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2093052468 is about 45749.8903605244. The cubic root of 2093052468 is about 1279.1654040177.

The spelling of 2093052468 in words is "two billion, ninety-three million, fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 149 156 159 212 298 318 447 596 636 689 894 1378 1699 1788 1937 2067 2756 3398 3874 4134 5097 5811 6796 7748 7897 8268 10194 11622 15794 20388 22087 23244 23691 31588 44174 47382 66261 88348 90047 94764 102661 132522 180094 205322 253151 265044 270141 307983 360188 410644 506302 540282 615966 759453 1012604 1080564 1170611 1231932 1518906 2341222 3037812 3290963 3511833 4682444 6581926 7023666 9872889 13163852 13417003 14047332 19745778 26834006 39491556 40251009 53668012 80502018 161004036 174421039 348842078 523263117 697684156 1046526234 2093052468