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4455054040 = 235713794139
BaseRepresentation
bin1000010011000101…
…01011101011011000
3102111110222012020111
410021202223223120
533110443212130
62014023134104
7215254222513
oct41142535330
912443865214
104455054040
111986842048
12a43ba4334
1355cc9a968
14303969d7a
151b11b102a
hex1098abad8

4455054040 has 64 divisors (see below), whose sum is σ = 10194336000. Its totient is φ = 1751863680.

The previous prime is 4455054029. The next prime is 4455054067. The reversal of 4455054040 is 404505544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4455053993 and 4455054011.

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, 1074291 + ... + 1078429.

It is an arithmetic number, because the mean of its divisors is an integer number (159286500).

Almost surely, 24455054040 is an apocalyptic number.

4455054040 is a gapful number since it is divisible by the number (40) 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 4455054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097168000).

4455054040 is an abundant number, since it is smaller than the sum of its proper divisors (5739281960).

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

4455054040 is a wasteful number, since it uses less digits than its factorization.

4455054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

The square root of 4455054040 is about 66746.1912021952. The cubic root of 4455054040 is about 1645.4486188779.

Adding to 4455054040 its reverse (404505544), we get a palindrome (4859559584).

The spelling of 4455054040 in words is "four billion, four hundred fifty-five million, fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 379 568 710 758 1420 1516 1895 2840 3032 3790 4139 7580 8278 15160 16556 20695 26909 33112 41390 53818 82780 107636 134545 165560 215272 269090 293869 538180 587738 1076360 1175476 1469345 1568681 2350952 2938690 3137362 5877380 6274724 7843405 11754760 12549448 15686810 31373620 62747240 111376351 222752702 445505404 556881755 891010808 1113763510 2227527020 4455054040