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1552000000 = 2105697
BaseRepresentation
bin101110010000001…
…1010010000000000
311000011100202202111
41130200122100000
511134303000000
6414000425104
753313532225
oct13440322000
94004322674
101552000000
11727077631
12373918194
131b96caac5
1410a19b94c
15913bbcba
hex5c81a400

1552000000 has 154 divisors (see below), whose sum is σ = 3918035786. Its totient is φ = 614400000.

The previous prime is 1551999997. The next prime is 1552000001. The reversal of 1552000000 is 2551.

It can be written as a sum of positive squares in 7 ways, for example, as 1546691584 + 5308416 = 39328^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (1552000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999952 + ... + 16000048.

Almost surely, 21552000000 is an apocalyptic number.

1552000000 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 1552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959017893).

1552000000 is an abundant number, since it is smaller than the sum of its proper divisors (2366035786).

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

1552000000 is an frugal number, since it uses more digits than its factorization.

1552000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1552000000 is about 39395.4312071844. The cubic root of 1552000000 is about 1157.7920744125.

Adding to 1552000000 its reverse (2551), we get a palindrome (1552002551).

The spelling of 1552000000 in words is "one billion, five 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 97 100 125 128 160 194 200 250 256 320 388 400 485 500 512 625 640 776 800 970 1000 1024 1250 1280 1552 1600 1940 2000 2425 2500 2560 3104 3125 3200 3880 4000 4850 5000 5120 6208 6250 6400 7760 8000 9700 10000 12125 12416 12500 12800 15520 15625 16000 19400 20000 24250 24832 25000 25600 31040 31250 32000 38800 40000 48500 49664 50000 60625 62080 62500 64000 77600 80000 97000 99328 100000 121250 124160 125000 128000 155200 160000 194000 200000 242500 248320 250000 303125 310400 320000 388000 400000 485000 496640 500000 606250 620800 640000 776000 800000 970000 1000000 1212500 1241600 1515625 1552000 1600000 1940000 2000000 2425000 2483200 3031250 3104000 3200000 3880000 4000000 4850000 6062500 6208000 7760000 8000000 9700000 12125000 12416000 15520000 16000000 19400000 24250000 31040000 38800000 48500000 62080000 77600000 97000000 155200000 194000000 310400000 388000000 776000000 1552000000