Search a number
-
+
1424956512 = 25373536007
BaseRepresentation
bin101010011101111…
…0001110001100000
310200022022021212010
41110323301301200
510404242102022
6353221432520
750211634110
oct12473616140
93608267763
101424956512
11671394a11
1233926b740
131992a8c45
14d736b040
158517450c
hex54ef1c60

1424956512 has 96 divisors (see below), whose sum is σ = 4287693312. Its totient is φ = 405909504.

The previous prime is 1424956501. The next prime is 1424956531. The reversal of 1424956512 is 2156594241.

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

It is a super-2 number, since 2×14249565122 = 4061002122182412288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234213 + ... + 240219.

It is an arithmetic number, because the mean of its divisors is an integer number (44663472).

Almost surely, 21424956512 is an apocalyptic number.

1424956512 is a gapful number since it is divisible by the number (12) 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 1424956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143846656).

1424956512 is an abundant number, since it is smaller than the sum of its proper divisors (2862736800).

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

1424956512 is a wasteful number, since it uses less digits than its factorization.

1424956512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6372 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 1424956512 is about 37748.5961593276. The cubic root of 1424956512 is about 1125.2971098727.

The spelling of 1424956512 in words is "one billion, four hundred twenty-four million, nine hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 353 672 706 1059 1412 2118 2471 2824 4236 4942 5648 6007 7413 8472 9884 11296 12014 14826 16944 18021 19768 24028 29652 33888 36042 39536 42049 48056 59304 72084 79072 84098 96112 118608 126147 144168 168196 192224 237216 252294 288336 336392 504588 576672 672784 1009176 1345568 2018352 2120471 4036704 4240942 6361413 8481884 12722826 14843297 16963768 25445652 29686594 33927536 44529891 50891304 59373188 67855072 89059782 101782608 118746376 178119564 203565216 237492752 356239128 474985504 712478256 1424956512