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1010555052 = 2231319367929
BaseRepresentation
bin111100001110111…
…101100010101100
32121102112111220220
4330032331202230
54032200230202
6244135411340
734020401433
oct7416754254
92542474826
101010555052
11479482a71
12242523b50
13131494590
14982d811a
155dab8abc
hex3c3bd8ac

1010555052 has 96 divisors (see below), whose sum is σ = 2683161600. Its totient is φ = 293455872.

The previous prime is 1010555041. The next prime is 1010555057. The reversal of 1010555052 is 2505550101.

It is not an unprimeable number, because it can be changed into a prime (1010555057) 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 31 ways as a sum of consecutive naturals, for example, 1087324 + ... + 1088252.

It is an arithmetic number, because the mean of its divisors is an integer number (27949600).

Almost surely, 21010555052 is an apocalyptic number.

1010555052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010555052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341580800).

1010555052 is an abundant number, since it is smaller than the sum of its proper divisors (1672606548).

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

1010555052 is a wasteful number, since it uses less digits than its factorization.

1010555052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 1010555052 is about 31789.2285530807. The cubic root of 1010555052 is about 1003.5060439566.

The spelling of 1010555052 in words is "one billion, ten million, five hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 367 494 734 741 929 988 1101 1468 1482 1858 2202 2787 2964 3716 4404 4771 5574 6973 9542 11148 12077 13946 14313 17651 19084 20919 24154 27892 28626 35302 36231 41838 48308 52953 57252 70604 72462 83676 90649 105906 144924 181298 211812 229463 271947 340943 362596 458926 543894 681886 688389 917852 1022829 1087788 1363772 1376778 2045658 2753556 4091316 4432259 6477917 8864518 12955834 13296777 17729036 19433751 25911668 26593554 38867502 53187108 77735004 84212921 168425842 252638763 336851684 505277526 1010555052