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4091939840 = 2105839629
BaseRepresentation
bin1111001111100110…
…0000110000000000
3101120011201002012102
43303321200300000
531340014033330
61514012245532
7203254625522
oct36371406000
911504632172
104091939840
11180a87aa6a
129624708a8
135029a25a1
142ab647a12
1518e386945
hexf3e60c00

4091939840 has 88 divisors (see below), whose sum is σ = 9935155440. Its totient is φ = 1616887808.

The previous prime is 4091939837. The next prime is 4091939861. The reversal of 4091939840 is 489391904.

It is a zygodrome in base 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 420146 + ... + 429774.

Almost surely, 24091939840 is an apocalyptic number.

4091939840 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 4091939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967577720).

4091939840 is an abundant number, since it is smaller than the sum of its proper divisors (5843215600).

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

4091939840 is an equidigital number, since it uses as much as digits as its factorization.

4091939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 4091939840 is about 63968.2721354892. The cubic root of 4091939840 is about 1599.4711585568.

The spelling of 4091939840 in words is "four billion, ninety-one million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2560 2656 3320 5120 5312 6640 9629 10624 13280 19258 21248 26560 38516 42496 48145 53120 77032 84992 96290 106240 154064 192580 212480 308128 385160 424960 616256 770320 799207 1232512 1540640 1598414 2465024 3081280 3196828 3996035 4930048 6162560 6393656 7992070 9860096 12325120 12787312 15984140 24650240 25574624 31968280 49300480 51149248 63936560 102298496 127873120 204596992 255746240 409193984 511492480 818387968 1022984960 2045969920 4091939840