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6008429040 = 243525035121
BaseRepresentation
bin1011001100010000…
…10101100111110000
3120111201220211010220
411212020111213300
544301124212130
62432113253040
7301615542555
oct54610254760
916451824126
106008429040
112603668739
1211b8264180
13749a5a573
1440dda4a2c
15252750410
hex1662159f0

6008429040 has 40 divisors (see below), whose sum is σ = 18626130768. Its totient is φ = 1602247680.

The previous prime is 6008429027. The next prime is 6008429047. The reversal of 6008429040 is 409248006.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×60084290402 = 72202439057430643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6008428992 and 6008429010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6008429047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12517321 + ... + 12517800.

Almost surely, 26008429040 is an apocalyptic number.

6008429040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6008429040 is an abundant number, since it is smaller than the sum of its proper divisors (12617701728).

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

6008429040 is a wasteful number, since it uses less digits than its factorization.

6008429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035137 (or 25035131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6008429040 is about 77514.0570477381. The cubic root of 6008429040 is about 1817.9711159047.

The spelling of 6008429040 in words is "six billion, eight million, four hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 25035121 50070242 75105363 100140484 125175605 150210726 200280968 250351210 300421452 375526815 400561936 500702420 600842904 751053630 1001404840 1201685808 1502107260 2002809680 3004214520 6008429040