Search a number
-
+
1988913472 = 267131272689
BaseRepresentation
bin111011010001100…
…0110100101000000
312010121111021100221
41312203012211000
513033130212342
6525205152424
7100200325360
oct16643064500
95117437327
101988913472
11930765147
124760bb714
132590950a0
1414c2109a0
15b9922a67
hex768c6940

1988913472 has 112 divisors (see below), whose sum is σ = 4897607680. Its totient is φ = 780337152.

The previous prime is 1988913439. The next prime is 1988913497. The reversal of 1988913472 is 2743198891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 738304 + ... + 740992.

It is an arithmetic number, because the mean of its divisors is an integer number (43728640).

Almost surely, 21988913472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448803840).

1988913472 is an abundant number, since it is smaller than the sum of its proper divisors (2908694208).

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

1988913472 is a wasteful number, since it uses less digits than its factorization.

1988913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2838 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The square root of 1988913472 is about 44597.2361475462. The cubic root of 1988913472 is about 1257.5887099799.

The spelling of 1988913472 in words is "one billion, nine hundred eighty-eight million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 182 208 224 254 364 416 448 508 728 832 889 1016 1456 1651 1778 2032 2689 2912 3302 3556 4064 5378 5824 6604 7112 8128 10756 11557 13208 14224 18823 21512 23114 26416 28448 34957 37646 43024 46228 52832 56896 69914 75292 86048 92456 105664 139828 150584 172096 184912 244699 279656 301168 341503 369824 489398 559312 602336 683006 739648 978796 1118624 1204672 1366012 1957592 2237248 2390521 2732024 3915184 4439539 4781042 5464048 7830368 8879078 9562084 10928096 15660736 17758156 19124168 21856192 31076773 35516312 38248336 62153546 71032624 76496672 124307092 142065248 152993344 248614184 284130496 497228368 994456736 1988913472