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2652755000 = 2354775793
BaseRepresentation
bin1001111000011101…
…1101010000111000
320211212121220202012
42132013131100320
520413101130000
61115121425052
7122511021410
oct23607352070
96755556665
102652755000
111141458105
1262049b188
1333378431c
141b2455640
15107d51735
hex9e1dd438

2652755000 has 80 divisors (see below), whose sum is σ = 7103413680. Its totient is φ = 909504000.

The previous prime is 2652754967. The next prime is 2652755003. The reversal of 2652755000 is 5572562.

2652755000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652755003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2897 + ... + 72896.

It is an arithmetic number, because the mean of its divisors is an integer number (88792671).

Almost surely, 22652755000 is an apocalyptic number.

2652755000 is a gapful number since it is divisible by the number (20) 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 2652755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551706840).

2652755000 is an abundant number, since it is smaller than the sum of its proper divisors (4450658680).

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

2652755000 is an equidigital number, since it uses as much as digits as its factorization.

2652755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75826 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 2652755000 is about 51504.9026792596. The cubic root of 2652755000 is about 1384.3068903573.

The spelling of 2652755000 in words is "two billion, six hundred fifty-two million, seven hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4375 5000 7000 8750 17500 35000 75793 151586 303172 378965 530551 606344 757930 1061102 1515860 1894825 2122204 2652755 3031720 3789650 4244408 5305510 7579300 9474125 10611020 13263775 15158600 18948250 21222040 26527550 37896500 47370625 53055100 66318875 75793000 94741250 106110200 132637750 189482500 265275500 331594375 378965000 530551000 663188750 1326377500 2652755000