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1283875152 = 24373821057
BaseRepresentation
bin100110010000110…
…0110000101010000
310022110211121121120
41030201212011100
510112133001102
6331221522240
743546521150
oct11441460520
93273747546
101283875152
115a979444a
122b9b73380
13175cb0651
14c2724760
1577aa76bc
hex4c866150

1283875152 has 40 divisors (see below), whose sum is σ = 3790489536. Its totient is φ = 366821376.

The previous prime is 1283875141. The next prime is 1283875183. The reversal of 1283875152 is 2515783821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1910193 + ... + 1910864.

Almost surely, 21283875152 is an apocalyptic number.

1283875152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1283875152 is an abundant number, since it is smaller than the sum of its proper divisors (2506614384).

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

1283875152 is a wasteful number, since it uses less digits than its factorization.

1283875152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821075 (or 3821069 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 1283875152 is about 35831.2036080286. The cubic root of 1283875152 is about 1086.8616490965.

It can be divided in two parts, 12838 and 75152, that added together give a triangular number (87990 = T419).

The spelling of 1283875152 in words is "one billion, two hundred eighty-three million, eight hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3821057 7642114 11463171 15284228 22926342 26747399 30568456 45852684 53494798 61136912 80242197 91705368 106989596 160484394 183410736 213979192 320968788 427958384 641937576 1283875152