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5302355940 = 22325729312151
BaseRepresentation
bin1001111000000101…
…11000011111100100
3111200112022120221100
410330002320133210
541324400342230
62234051520100
7245253165450
oct47402703744
914615276840
105302355940
112281050552
12103b8b9030
136666a2b2b
143842c9660
1521077d660
hex13c0b87e4

5302355940 has 432 divisors, whose sum is σ = 19778653440. Its totient is φ = 1124928000.

The previous prime is 5302355923. The next prime is 5302355941. The reversal of 5302355940 is 495532035.

5302355940 is a `hidden beast` number, since 5 + 30 + 2 + 35 + 594 + 0 = 666.

It is a super-2 number, since 2×53023559402 = 56229957028906567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5302355895 and 5302355904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5302355941) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35114865 + ... + 35115015.

It is an arithmetic number, because the mean of its divisors is an integer number (45783920).

Almost surely, 25302355940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5302355940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889326720).

5302355940 is an abundant number, since it is smaller than the sum of its proper divisors (14476297500).

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

5302355940 is a wasteful number, since it uses less digits than its factorization.

5302355940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5302355940 is about 72817.2777574114. The cubic root of 5302355940 is about 1743.7717034336.

Adding to 5302355940 its reverse (495532035), we get a palindrome (5797887975).

The spelling of 5302355940 in words is "five billion, three hundred two million, three hundred fifty-five thousand, nine hundred forty".