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4001389840 = 245729246391
BaseRepresentation
bin1110111010000000…
…0101110100010000
3101022212022122221201
43232200011310100
531143323433330
61501015400544
7201105152410
oct35640056420
911285278851
104001389840
111773753458
12938083154
134b9cba1c6
1429d5d6640
1518644beca
hexee805d10

4001389840 has 80 divisors (see below), whose sum is σ = 10998938880. Its totient is φ = 1324592640.

The previous prime is 4001389837. The next prime is 4001389849. The reversal of 4001389840 is 489831004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40013898402 = 32022241303310451200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001389840.

It is not an unprimeable number, because it can be changed into a prime (4001389849) 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 15 ways as a sum of consecutive naturals, for example, 106956 + ... + 139435.

It is an arithmetic number, because the mean of its divisors is an integer number (137486736).

Almost surely, 24001389840 is an apocalyptic number.

4001389840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001389840 is an abundant number, since it is smaller than the sum of its proper divisors (6997549040).

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

4001389840 is a wasteful number, since it uses less digits than its factorization.

4001389840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246440 (or 246434 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 4001389840 is about 63256.5398990492. The cubic root of 4001389840 is about 1587.5848834683.

The spelling of 4001389840 in words is "four billion, one million, three hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 246391 492782 985564 1231955 1724737 1971128 2463910 3449474 3942256 4927820 6898948 7145339 8623685 9855640 13797896 14290678 17247370 19711280 27595792 28581356 34494740 35726695 50017373 57162712 68989480 71453390 100034746 114325424 137978960 142906780 200069492 250086865 285813560 400138984 500173730 571627120 800277968 1000347460 2000694920 4001389840