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3909049440 = 25358143853
BaseRepresentation
bin1110100011111111…
…0101110001100000
3101002102120021201220
43220333311301200
531001204040230
61443520255040
7165604241412
oct35077656140
911072507656
103909049440
11172661377a
12911171480
134a3b28c0a
1429123a9b2
1517d2abd10
hexe8ff5c60

3909049440 has 48 divisors (see below), whose sum is σ = 12313507248. Its totient is φ = 1042413056.

The previous prime is 3909049421. The next prime is 3909049447. The reversal of 3909049440 is 449409093.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3909049392 and 3909049401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909049447) 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, 4071447 + ... + 4072406.

It is an arithmetic number, because the mean of its divisors is an integer number (256531401).

Almost surely, 23909049440 is an apocalyptic number.

3909049440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3909049440 is an abundant number, since it is smaller than the sum of its proper divisors (8404457808).

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

3909049440 is a wasteful number, since it uses less digits than its factorization.

3909049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143871 (or 8143863 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3909049440 is about 62522.3915089626. The cubic root of 3909049440 is about 1575.2774436915.

The spelling of 3909049440 in words is "three billion, nine hundred nine million, forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8143853 16287706 24431559 32575412 40719265 48863118 65150824 81438530 97726236 122157795 130301648 162877060 195452472 244315590 260603296 325754120 390904944 488631180 651508240 781809888 977262360 1303016480 1954524720 3909049440