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4550963040 = 25325132983101
BaseRepresentation
bin1000011110100001…
…00010111101100000
3102202011102212122200
410033100202331200
533310021304130
62031330533200
7220530355551
oct41720427540
912664385580
104550963040
111a25999988
12a70137200
13576b0b350
143125b4328
151b9808760
hex10f422f60

4550963040 has 576 divisors, whose sum is σ = 17683323840. Its totient is φ = 1057996800.

The previous prime is 4550963009. The next prime is 4550963083. The reversal of 4550963040 is 403690554.

It is a happy number.

4550963040 is a `hidden beast` number, since 4 + 550 + 9 + 63 + 0 + 40 = 666.

It is a super-2 number, since 2×45509630402 = 41422529182892083200, 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 = 4550962986 and 4550963004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45058990 + ... + 45059090.

It is an arithmetic number, because the mean of its divisors is an integer number (30700215).

Almost surely, 24550963040 is an apocalyptic number.

4550963040 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 4550963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841661920).

4550963040 is an abundant number, since it is smaller than the sum of its proper divisors (13132360800).

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

4550963040 is a wasteful number, since it uses less digits than its factorization.

4550963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4550963040 is about 67460.8259658893. The cubic root of 4550963040 is about 1657.1726973280.

The spelling of 4550963040 in words is "four billion, five hundred fifty million, nine hundred sixty-three thousand, forty".