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1988446464 = 28329292
BaseRepresentation
bin111011010000101…
…0100100100000000
312010120121112202100
41312201110210000
513033020241324
6525151150400
7100163342004
oct16641244400
95116545670
101988446464
11930476294
12475b15400
13258c60654
1414c12c704
15b987e4c9
hex76854900

1988446464 has 81 divisors (see below), whose sum is σ = 5739359353. Its totient is φ = 662102016.

The previous prime is 1988446417. The next prime is 1988446469. The reversal of 1988446464 is 4646448891.

The square root of 1988446464 is 44592.

It is a perfect power (a square), and thus also a powerful number.

1988446464 is a `hidden beast` number, since 198 + 8 + 446 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 1950105600 = 6192^2 + 44160^2 .

It is a super-3 number, since 3×19884464643 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1988446464.

It is not an unprimeable number, because it can be changed into a prime (1988446469) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2139952 + ... + 2140880.

Almost surely, 21988446464 is an apocalyptic number.

1988446464 is the 44592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988446464

1988446464 is an abundant number, since it is smaller than the sum of its proper divisors (3750912889).

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

1988446464 is an frugal number, since it uses more digits than its factorization.

1988446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 934 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The cubic root of 1988446464 is about 1257.4902726555.

The spelling of 1988446464 in words is "one billion, nine hundred eighty-eight million, four hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 929 1152 1858 2304 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 59456 66888 89184 118912 133776 178368 237824 267552 356736 535104 713472 863041 1070208 1726082 2140416 2589123 3452164 5178246 6904328 7767369 10356492 13808656 15534738 20712984 27617312 31069476 41425968 55234624 62138952 82851936 110469248 124277904 165703872 220938496 248555808 331407744 497111616 662815488 994223232 1988446464