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4332425040 = 243256017257
BaseRepresentation
bin1000000100011101…
…11000111101010000
3102011221012222212200
410002032320331100
532333100100130
61553522523200
7212235001536
oct40216707520
912157188780
104332425040
1119235a5069
12a0ab06500
13540763218
142d1568156
151a553b760
hex1023b8f50

4332425040 has 60 divisors (see below), whose sum is σ = 14549729844. Its totient is φ = 1155313152.

The previous prime is 4332425039. The next prime is 4332425051. The reversal of 4332425040 is 405242334.

It can be written as a sum of positive squares in 2 ways, for example, as 2187994176 + 2144430864 = 46776^2 + 46308^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 4332424995 and 4332425013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3007909 + ... + 3009348.

Almost surely, 24332425040 is an apocalyptic number.

4332425040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4332425040 is an abundant number, since it is smaller than the sum of its proper divisors (10217304804).

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

4332425040 is a wasteful number, since it uses less digits than its factorization.

4332425040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017276 (or 6017267 counting only the distinct ones).

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

The square root of 4332425040 is about 65821.1595157667. The cubic root of 4332425040 is about 1630.2104988666.

Adding to 4332425040 its reverse (405242334), we get a palindrome (4737667374).

The spelling of 4332425040 in words is "four billion, three hundred thirty-two million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6017257 12034514 18051771 24069028 30086285 36103542 48138056 54155313 60172570 72207084 90258855 96276112 108310626 120345140 144414168 180517710 216621252 240690280 270776565 288828336 361035420 433242504 481380560 541553130 722070840 866485008 1083106260 1444141680 2166212520 4332425040