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1252042500 = 223541391201
BaseRepresentation
bin100101010100000…
…1010011100000100
310020020221100102110
41022220022130010
510031010330000
6324123341020
743012120452
oct11250123404
93206840373
101252042500
11592822075
122ab381770
1316c516467
14bc3d99d2
1574dba850
hex4aa0a704

1252042500 has 120 divisors (see below), whose sum is σ = 3679947040. Its totient is φ = 331200000.

The previous prime is 1252042489. The next prime is 1252042553. The reversal of 1252042500 is 52402521.

It is a happy number.

It is a super-2 number, since 2×12520425002 = 3135220843612500000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1041900 + ... + 1043100.

Almost surely, 21252042500 is an apocalyptic number.

1252042500 is a gapful number since it is divisible by the number (10) 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 1252042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839973520).

1252042500 is an abundant number, since it is smaller than the sum of its proper divisors (2427904540).

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

1252042500 is a wasteful number, since it uses less digits than its factorization.

1252042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1252042500 is about 35384.2125813194. The cubic root of 1252042500 is about 1077.8037501171.

The spelling of 1252042500 in words is "one billion, two hundred fifty-two million, forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 139 150 250 278 300 375 417 500 556 625 695 750 834 1201 1250 1390 1500 1668 1875 2085 2402 2500 2780 3475 3603 3750 4170 4804 6005 6950 7206 7500 8340 10425 12010 13900 14412 17375 18015 20850 24020 30025 34750 36030 41700 52125 60050 69500 72060 86875 90075 104250 120100 150125 166939 173750 180150 208500 260625 300250 333878 347500 360300 450375 500817 521250 600500 667756 750625 834695 900750 1001634 1042500 1501250 1669390 1801500 2003268 2251875 2504085 3002500 3338780 4173475 4503750 5008170 8346950 9007500 10016340 12520425 16693900 20867375 25040850 41734750 50081700 62602125 83469500 104336875 125204250 208673750 250408500 313010625 417347500 626021250 1252042500