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6308249040 = 243258761457
BaseRepresentation
bin1011110000000000…
…00011110111010000
3121021122002020212100
411320000003313100
5100404402432130
62521543400400
7312216142422
oct57000036720
917248066770
106308249040
112747929965
121280753100
13796bc4452
1443bb2c812
1526dc25c60
hex178003dd0

6308249040 has 60 divisors (see below), whose sum is σ = 21185205444. Its totient is φ = 1682199552.

The previous prime is 6308249009. The next prime is 6308249047. The reversal of 6308249040 is 409428036.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4914570816 + 1393678224 = 70104^2 + 37332^2 .

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

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 = 6308248986 and 6308249004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6308249047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380009 + ... + 4381448.

Almost surely, 26308249040 is an apocalyptic number.

6308249040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6308249040 is an abundant number, since it is smaller than the sum of its proper divisors (14876956404).

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

6308249040 is a wasteful number, since it uses less digits than its factorization.

6308249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761476 (or 8761467 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6308249040 is about 79424.4864006057. The cubic root of 6308249040 is about 1847.7204980109.

The spelling of 6308249040 in words is "six billion, three hundred eight million, two hundred forty-nine 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 8761457 17522914 26284371 35045828 43807285 52568742 70091656 78853113 87614570 105137484 131421855 140183312 157706226 175229140 210274968 262843710 315412452 350458280 394265565 420549936 525687420 630824904 700916560 788531130 1051374840 1261649808 1577062260 2102749680 3154124520 6308249040