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2091903552 = 26329737441
BaseRepresentation
bin111110010101111…
…1110101001000000
312101210021201012100
41330223332221000
513241011403202
6543324430400
7102560613114
oct17453765100
95353251170
102091903552
11983909112
124a46a8400
1327451486b
1415bb7d744
15c39b841c
hex7cafea40

2091903552 has 84 divisors (see below), whose sum is σ = 6058040716. Its totient is φ = 690094080.

The previous prime is 2091903551. The next prime is 2091903559. The reversal of 2091903552 is 2553091902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1028100096 + 1063803456 = 32064^2 + 32616^2 .

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 (2091903551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37152 + ... + 74592.

Almost surely, 22091903552 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 2091903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029020358).

2091903552 is an abundant number, since it is smaller than the sum of its proper divisors (3966137164).

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

2091903552 is a wasteful number, since it uses less digits than its factorization.

2091903552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37556 (or 37543 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2091903552 is about 45737.3321478199. The cubic root of 2091903552 is about 1278.9313085023.

The spelling of 2091903552 in words is "two billion, ninety-one million, nine hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 13968 18624 27936 37441 55872 74882 112323 149764 224646 299528 336969 449292 599056 673938 898584 1198112 1347876 1797168 2396224 2695752 3594336 3631777 5391504 7188672 7263554 10783008 10895331 14527108 21566016 21790662 29054216 32685993 43581324 58108432 65371986 87162648 116216864 130743972 174325296 232433728 261487944 348650592 522975888 697301184 1045951776 2091903552