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642353460 = 223571529413
BaseRepresentation
bin100110010010011…
…000100100110100
31122202200221021220
4212102120210310
52303420302320
6143423510340
721626625420
oct4622304464
91582627256
10642353460
112aa656731
1215b1583b0
13a3107708
146144db80
153b5d6e40
hex26498934

642353460 has 48 divisors (see below), whose sum is σ = 2055532416. Its totient is φ = 146823552.

The previous prime is 642353443. The next prime is 642353461. The reversal of 642353460 is 64353246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642353461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764287 + ... + 765126.

It is an arithmetic number, because the mean of its divisors is an integer number (42823592).

Almost surely, 2642353460 is an apocalyptic number.

642353460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642353460 is an abundant number, since it is smaller than the sum of its proper divisors (1413178956).

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

642353460 is a wasteful number, since it uses less digits than its factorization.

642353460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529432 (or 1529430 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 642353460 is about 25344.6929356029. The cubic root of 642353460 is about 862.8289121514.

The spelling of 642353460 in words is "six hundred forty-two million, three hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1529413 3058826 4588239 6117652 7647065 9176478 10705891 15294130 18352956 21411782 22941195 30588260 32117673 42823564 45882390 53529455 64235346 91764780 107058910 128470692 160588365 214117820 321176730 642353460