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1252000000 = 2856313
BaseRepresentation
bin100101010100000…
…0000000100000000
310020020212012010101
41022220000010000
510031003000000
6324122412144
743011552526
oct11250000400
93206765111
101252000000
115927a3149
122ab361054
1316c500004
14bc3c8316
1574dace6a
hex4aa00100

1252000000 has 126 divisors (see below), whose sum is σ = 3133827074. Its totient is φ = 499200000.

The previous prime is 1251999967. The next prime is 1252000027. The reversal of 1252000000 is 2521.

It can be written as a sum of positive squares in 7 ways, for example, as 1074790656 + 177209344 = 32784^2 + 13312^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999844 + ... + 4000156.

Almost surely, 21252000000 is an apocalyptic number.

1252000000 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 1252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566913537).

1252000000 is an abundant number, since it is smaller than the sum of its proper divisors (1881827074).

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

1252000000 is an frugal number, since it uses more digits than its factorization.

1252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1252000000 is about 35383.6120259083. The cubic root of 1252000000 is about 1077.7915547969.

Adding to 1252000000 its reverse (2521), we get a palindrome (1252002521).

The spelling of 1252000000 in words is "one billion, two hundred fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 313 320 400 500 625 626 640 800 1000 1250 1252 1280 1565 1600 2000 2500 2504 3125 3130 3200 4000 5000 5008 6250 6260 6400 7825 8000 10000 10016 12500 12520 15625 15650 16000 20000 20032 25000 25040 31250 31300 32000 39125 40000 40064 50000 50080 62500 62600 78250 80000 80128 100000 100160 125000 125200 156500 160000 195625 200000 200320 250000 250400 313000 391250 400000 400640 500000 500800 626000 782500 800000 978125 1000000 1001600 1252000 1565000 1956250 2000000 2003200 2504000 3130000 3912500 4000000 4890625 5008000 6260000 7825000 9781250 10016000 12520000 15650000 19562500 25040000 31300000 39125000 50080000 62600000 78250000 125200000 156500000 250400000 313000000 626000000 1252000000