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4059894240 = 253252819371
BaseRepresentation
bin1111000111111101…
…0001000111100000
3101110221101222220100
43301333101013200
531303313103430
61510505342400
7202415350233
oct36177210740
911427358810
104059894240
1117a37826a6
12953797a00
134c91624ac
142a72a541a
1518b656960
hexf1fd11e0

4059894240 has 72 divisors (see below), whose sum is σ = 13854394008. Its totient is φ = 1082638080.

The previous prime is 4059894233. The next prime is 4059894269. The reversal of 4059894240 is 424989504.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408246 + ... + 1411125.

It is an arithmetic number, because the mean of its divisors is an integer number (192422139).

Almost surely, 24059894240 is an apocalyptic number.

4059894240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4059894240 is an abundant number, since it is smaller than the sum of its proper divisors (9794499768).

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

4059894240 is a wasteful number, since it uses less digits than its factorization.

4059894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819392 (or 2819381 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4059894240 is about 63717.2993777985. The cubic root of 4059894240 is about 1595.2848474014.

The spelling of 4059894240 in words is "four billion, fifty-nine million, eight hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2819371 5638742 8458113 11277484 14096855 16916226 22554968 25374339 28193710 33832452 42290565 45109936 50748678 56387420 67664904 84581130 90219872 101497356 112774840 126871695 135329808 169162260 202994712 225549680 253743390 270659616 338324520 405989424 451099360 507486780 676649040 811978848 1014973560 1353298080 2029947120 4059894240