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1468388000 = 2553367097
BaseRepresentation
bin101011110000101…
…1101001010100000
310210100000211122202
41113201131022200
511001401404000
6401412352332
751250043402
oct12741351240
93710024582
101468388000
11693959702
1234b9156a8
131a52a4651
14dd034b72
1588da2dd5
hex5785d2a0

1468388000 has 48 divisors (see below), whose sum is σ = 3607839144. Its totient is φ = 587353600.

The previous prime is 1468387979. The next prime is 1468388017. The reversal of 1468388000 is 8838641.

It can be written as a sum of positive squares in 4 ways, for example, as 732676624 + 735711376 = 27068^2 + 27124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179549 + ... + 187548.

Almost surely, 21468388000 is an apocalyptic number.

1468388000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468388000 is an abundant number, since it is smaller than the sum of its proper divisors (2139451144).

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

1468388000 is an equidigital number, since it uses as much as digits as its factorization.

1468388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367122 (or 367104 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1468388000 is about 38319.5511455967. The cubic root of 1468388000 is about 1136.6155907750.

The spelling of 1468388000 in words is "one billion, four hundred sixty-eight million, three hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 367097 734194 1468388 1835485 2936776 3670970 5873552 7341940 9177425 11747104 14683880 18354850 29367760 36709700 45887125 58735520 73419400 91774250 146838800 183548500 293677600 367097000 734194000 1468388000