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1288052004 = 223537327743
BaseRepresentation
bin100110011000110…
…0001110100100100
310022202200211011210
41030301201310210
510114220131004
6331451231420
743630155441
oct11461416444
93282624153
101288052004
11601087598
122bb448570
13176b13865
14c30d09c8
1578130089
hex4cc61d24

1288052004 has 48 divisors (see below), whose sum is σ = 3104220672. Its totient is φ = 415464192.

The previous prime is 1288051987. The next prime is 1288052033. The reversal of 1288052004 is 4002508821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32557 + ... + 60299.

It is an arithmetic number, because the mean of its divisors is an integer number (64671264).

Almost surely, 21288052004 is an apocalyptic number.

It is an amenable number.

1288052004 is an abundant number, since it is smaller than the sum of its proper divisors (1816168668).

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

1288052004 is a wasteful number, since it uses less digits than its factorization.

1288052004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876 (or 27874 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1288052004 is about 35889.4413999438. The cubic root of 1288052004 is about 1088.0390081620.

The spelling of 1288052004 in words is "one billion, two hundred eighty-eight million, fifty-two thousand, four".

Divisors: 1 2 3 4 6 12 53 73 106 146 159 212 219 292 318 438 636 876 3869 7738 11607 15476 23214 27743 46428 55486 83229 110972 166458 332916 1470379 2025239 2940758 4050478 4411137 5881516 6075717 8100956 8822274 12151434 17644548 24302868 107337667 214675334 322013001 429350668 644026002 1288052004