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1252268112 = 243191737937
BaseRepresentation
bin100101010100100…
…0001100001010000
310020021100210220110
41022221001201100
510031040034422
6324132241320
743014050304
oct11251014120
93207323813
101252268112
11592966627
122ab470240
1316c595064
14bc457d04
1574e1260c
hex4aa41850

1252268112 has 80 divisors (see below), whose sum is σ = 3425405760. Its totient is φ = 393117696.

The previous prime is 1252268107. The next prime is 1252268113. The reversal of 1252268112 is 2118622521.

It is a self number, because there is not a number n which added to its sum of digits gives 1252268112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252268113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153808 + ... + 161744.

It is an arithmetic number, because the mean of its divisors is an integer number (42817572).

Almost surely, 21252268112 is an apocalyptic number.

1252268112 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 1252268112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712702880).

1252268112 is an abundant number, since it is smaller than the sum of its proper divisors (2173137648).

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

1252268112 is a wasteful number, since it uses less digits than its factorization.

1252268112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8134 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 1252268112 is about 35387.4004696587. The cubic root of 1252268112 is about 1077.8684845691.

The spelling of 1252268112 in words is "one billion, two hundred fifty-two million, two hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 173 228 304 346 456 519 692 912 1038 1384 2076 2768 3287 4152 6574 7937 8304 9861 13148 15874 19722 23811 26296 31748 39444 47622 52592 63496 78888 95244 126992 150803 157776 190488 301606 380976 452409 603212 904818 1206424 1373101 1809636 2412848 2746202 3619272 4119303 5492404 7238544 8238606 10984808 16477212 21969616 26088919 32954424 52177838 65908848 78266757 104355676 156533514 208711352 313067028 417422704 626134056 1252268112