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2072875950 = 2325241283397
BaseRepresentation
bin111101110001101…
…1001001110101110
312100110111000020100
41323203121032232
513221124012300
6541404531530
7102240104055
oct17343311656
95313430210
102072875950
119740a2422
1249a250ba6
132705b1c22
1415942939c
15c1eaa700
hex7b8d93ae

2072875950 has 144 divisors (see below), whose sum is σ = 5739538896. Its totient is φ = 536025600.

The previous prime is 2072875913. The next prime is 2072875979. The reversal of 2072875950 is 595782702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2072875896 and 2072875905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221152 + ... + 5221548.

It is an arithmetic number, because the mean of its divisors is an integer number (39857909).

Almost surely, 22072875950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072875950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869769448).

2072875950 is an abundant number, since it is smaller than the sum of its proper divisors (3666662946).

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

2072875950 is a wasteful number, since it uses less digits than its factorization.

2072875950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2072875950 is about 45528.8474486232. The cubic root of 2072875950 is about 1275.0418440708.

The spelling of 2072875950 in words is "two billion, seventy-two million, eight hundred seventy-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 283 369 397 410 450 566 615 738 794 849 1025 1191 1230 1415 1698 1845 1985 2050 2382 2547 2830 3075 3573 3690 3970 4245 5094 5955 6150 7075 7146 8490 9225 9925 11603 11910 12735 14150 16277 17865 18450 19850 21225 23206 25470 29775 32554 34809 35730 42450 48831 58015 59550 63675 69618 81385 89325 97662 104427 112351 116030 127350 146493 162770 174045 178650 208854 224702 244155 290075 292986 337053 348090 406925 488310 522135 561755 580150 674106 732465 813850 870225 1011159 1044270 1123510 1220775 1464930 1685265 1740450 2022318 2441550 2610675 2808775 3370530 3662325 4606391 5055795 5221350 5617550 7324650 8426325 9212782 10111590 13819173 16852650 23031955 25278975 27638346 41457519 46063910 50557950 69095865 82915038 115159775 138191730 207287595 230319550 345479325 414575190 690958650 1036437975 2072875950