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5432430024 = 2333715712287
BaseRepresentation
bin1010000111100110…
…00100110111001000
3112000121002001001000
411003303010313020
542111200230044
62255015455000
7251422615260
oct50363046710
915017061030
105432430024
11233851309a
121077387460
13687616248
143976a87a0
1521bdc3d69
hex143cc4dc8

5432430024 has 128 divisors (see below), whose sum is σ = 17264332800. Its totient is φ = 1550456640.

The previous prime is 5432429941. The next prime is 5432430037. The reversal of 5432430024 is 4200342345.

It is a super-2 number, since 2×54324300242 = 59022591931313281152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5432430024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2374209 + ... + 2376495.

It is an arithmetic number, because the mean of its divisors is an integer number (134877600).

Almost surely, 25432430024 is an apocalyptic number.

5432430024 is a gapful number since it is divisible by the number (54) 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 5432430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632166400).

5432430024 is an abundant number, since it is smaller than the sum of its proper divisors (11831902776).

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

5432430024 is a wasteful number, since it uses less digits than its factorization.

5432430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 5432430024 is about 73705.0203446142. The cubic root of 5432430024 is about 1757.9157084304.

Adding to 5432430024 its reverse (4200342345), we get a palindrome (9632772369).

It can be divided in two parts, 54324 and 30024, that added together give a palindrome (84348).

The spelling of 5432430024 in words is "five billion, four hundred thirty-two million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1571 2287 3142 4574 4713 6284 6861 9148 9426 10997 12568 13722 14139 16009 18296 18852 20583 21994 27444 28278 32018 32991 37704 41166 42417 43988 48027 54888 56556 61749 64036 65982 82332 84834 87976 96054 98973 113112 123498 128072 131964 144081 164664 169668 192108 197946 246996 263928 288162 296919 339336 384216 395892 432243 493992 576324 593838 791784 864486 1152648 1187676 1728972 2375352 3457944 3592877 7185754 10778631 14371508 21557262 25150139 28743016 32335893 43114524 50300278 64671786 75450417 86229048 97007679 100600556 129343572 150900834 194015358 201201112 226351251 258687144 301801668 388030716 452702502 603603336 679053753 776061432 905405004 1358107506 1810810008 2716215012 5432430024