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4052566240 = 255194492969
BaseRepresentation
bin1111000110001101…
…0100000011100000
3101110102121200202221
43301203110003200
531244424104430
61510044320424
7202266146632
oct36143240340
911412550687
104052566240
11179a627aa8
12951243114
134c7797bb8
142a6318a52
1518abaa57a
hexf18d40e0

4052566240 has 96 divisors (see below), whose sum is σ = 10103940000. Its totient is φ = 1531772928.

The previous prime is 4052566223. The next prime is 4052566277. The reversal of 4052566240 is 426652504.

It is a junction number, because it is equal to n+sod(n) for n = 4052566196 and 4052566205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1363476 + ... + 1366444.

It is an arithmetic number, because the mean of its divisors is an integer number (105249375).

Almost surely, 24052566240 is an apocalyptic number.

4052566240 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 4052566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051970000).

4052566240 is an abundant number, since it is smaller than the sum of its proper divisors (6051373760).

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

4052566240 is a wasteful number, since it uses less digits than its factorization.

4052566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 4052566240 is about 63659.7693995195. The cubic root of 4052566240 is about 1594.3244539150.

The spelling of 4052566240 in words is "four billion, fifty-two million, five hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 449 608 760 898 1520 1796 2245 2969 3040 3592 4490 5938 7184 8531 8980 11876 14368 14845 17062 17960 23752 29690 34124 35920 42655 47504 56411 59380 68248 71840 85310 95008 112822 118760 136496 170620 225644 237520 272992 282055 341240 451288 475040 564110 682480 902576 1128220 1333081 1364960 1805152 2256440 2666162 4512880 5332324 6665405 9025760 10664648 13330810 21329296 25328539 26661620 42658592 50657078 53323240 101314156 106646480 126642695 202628312 213292960 253285390 405256624 506570780 810513248 1013141560 2026283120 4052566240