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1252308972 = 223293598589
BaseRepresentation
bin100101010100100…
…1011011111101100
310020021102212221210
41022221023133230
510031042341342
6324133154420
743014310365
oct11251133754
93207385853
101252308972
115929942a2
122ab48ba10
1316c5aa835
14bc468b6c
1574e1e79c
hex4aa4b7ec

1252308972 has 24 divisors (see below), whose sum is σ = 3022815600. Its totient is φ = 403041856.

The previous prime is 1252308949. The next prime is 1252308979. The reversal of 1252308972 is 2798032521.

It is a super-3 number, since 3×12523089723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1252308972.

It is not an unprimeable number, because it can be changed into a prime (1252308979) 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 7 ways as a sum of consecutive naturals, for example, 1798947 + ... + 1799642.

It is an arithmetic number, because the mean of its divisors is an integer number (125950650).

Almost surely, 21252308972 is an apocalyptic number.

1252308972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1252308972 is an abundant number, since it is smaller than the sum of its proper divisors (1770506628).

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

1252308972 is a wasteful number, since it uses less digits than its factorization.

1252308972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598625 (or 3598623 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1252308972 is about 35387.9777890741. The cubic root of 1252308972 is about 1077.8802076250.

The spelling of 1252308972 in words is "one billion, two hundred fifty-two million, three hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 3598589 7197178 10795767 14394356 21591534 43183068 104359081 208718162 313077243 417436324 626154486 1252308972