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4055734000 = 24537327779
BaseRepresentation
bin1111000110111101…
…1001011011110000
3101110122120122010101
43301233121123300
531301231442000
61510240242144
7202335112243
oct36157313360
911418518111
104055734000
1117a13a0a8a
12952310354
134c8336a06
142a690125a
1518b0d3e6a
hexf1bd96f0

4055734000 has 80 divisors (see below), whose sum is σ = 9941461920. Its totient is φ = 1600012800.

The previous prime is 4055733991. The next prime is 4055734009. The reversal of 4055734000 is 4375504.

It is an interprime number because it is at equal distance from previous prime (4055733991) and next prime (4055734009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4055734000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055734009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132111 + ... + 159889.

It is an arithmetic number, because the mean of its divisors is an integer number (124268274).

Almost surely, 24055734000 is an apocalyptic number.

4055734000 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 4055734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970730960).

4055734000 is an abundant number, since it is smaller than the sum of its proper divisors (5885727920).

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

4055734000 is a wasteful number, since it uses less digits than its factorization.

4055734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875 (or 27859 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 4055734000 is about 63684.6449310978. The cubic root of 4055734000 is about 1594.7397563500.

The spelling of 4055734000 in words is "four billion, fifty-five million, seven hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 27779 29200 36500 55558 73000 111116 138895 146000 222232 277790 444464 555580 694475 1111160 1388950 2027867 2222320 2777900 3472375 4055734 5555800 6944750 8111468 10139335 11111600 13889500 16222936 20278670 27779000 32445872 40557340 50696675 55558000 81114680 101393350 162229360 202786700 253483375 405573400 506966750 811146800 1013933500 2027867000 4055734000