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1114489824 = 25374338569
BaseRepresentation
bin100001001101101…
…1100001111100000
32212200002221121220
41002123130033200
54240302133244
6302331215040
736422002320
oct10233341740
92780087556
101114489824
11522111778
122712a7480
13149b85046
14a8031280
1567c99319
hex426dc3e0

1114489824 has 96 divisors (see below), whose sum is σ = 3421313280. Its totient is φ = 311012352.

The previous prime is 1114489801. The next prime is 1114489829. The reversal of 1114489824 is 4289844111.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114489829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9612 + ... + 48180.

It is an arithmetic number, because the mean of its divisors is an integer number (35638680).

Almost surely, 21114489824 is an apocalyptic number.

1114489824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114489824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710656640).

1114489824 is an abundant number, since it is smaller than the sum of its proper divisors (2306823456).

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

1114489824 is a wasteful number, since it uses less digits than its factorization.

1114489824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38632 (or 38624 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 1114489824 is about 33383.9755571442. The cubic root of 1114489824 is about 1036.7929509599.

The spelling of 1114489824 in words is "one billion, one hundred fourteen million, four hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 38569 77138 115707 154276 231414 269983 308552 462828 539966 617104 809949 925656 1079932 1234208 1619898 1658467 1851312 2159864 3239796 3316934 3702624 4319728 4975401 6479592 6633868 8639456 9950802 11609269 12959184 13267736 19901604 23218538 25918368 26535472 34827807 39803208 46437076 53070944 69655614 79606416 92874152 139311228 159212832 185748304 278622456 371496608 557244912 1114489824