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1050452052 = 22313371271433
BaseRepresentation
bin111110100111001…
…010000001010100
32201012121111022120
4332213022001110
54122403431202
6252122455540
735013460266
oct7647120124
92635544276
101050452052
11499a531a1
122539645b0
13139823280
149d721b36
156234a0bc
hex3e9ca054

1050452052 has 96 divisors (see below), whose sum is σ = 2734190592. Its totient is φ = 311786496.

The previous prime is 1050452041. The next prime is 1050452057. The reversal of 1050452052 is 2502540501.

It is a happy number.

It is a super-2 number, since 2×10504520522 = 2206899027102021408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050452057) 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, 732328 + ... + 733760.

It is an arithmetic number, because the mean of its divisors is an integer number (28481152).

Almost surely, 21050452052 is an apocalyptic number.

1050452052 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 1050452052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367095296).

1050452052 is an abundant number, since it is smaller than the sum of its proper divisors (1683738540).

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

1050452052 is a wasteful number, since it uses less digits than its factorization.

1050452052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 1050452052 is about 32410.6780552336. The cubic root of 1050452052 is about 1016.5421974766.

Adding to 1050452052 its reverse (2502540501), we get a palindrome (3552992553).

The spelling of 1050452052 in words is "one billion, fifty million, four hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 127 148 156 222 254 381 444 481 508 762 962 1433 1443 1524 1651 1924 2866 2886 3302 4299 4699 4953 5732 5772 6604 8598 9398 9906 14097 17196 18629 18796 19812 28194 37258 53021 55887 56388 61087 74516 106042 111774 122174 159063 181991 183261 212084 223548 244348 318126 363982 366522 545973 636252 689273 727964 733044 1091946 1378546 2067819 2183892 2365883 2757092 4135638 4731766 6733667 7097649 8271276 9463532 13467334 14195298 20201001 26934668 28390596 40402002 80804004 87537671 175075342 262613013 350150684 525226026 1050452052