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427965540 = 223531230089
BaseRepresentation
bin11001100000100…
…011110001100100
31002211021220100120
4121200203301210
51334024344130
6110244441540
713414434642
oct3140436144
91084256316
10427965540
111aa636932
12bb3a92b0
136a883562
1440ba4192
1527889910
hex19823c64

427965540 has 48 divisors (see below), whose sum is σ = 1236963840. Its totient is φ = 110442240.

The previous prime is 427965521. The next prime is 427965547. The reversal of 427965540 is 45569724.

It is a junction number, because it is equal to n+sod(n) for n = 427965492 and 427965501.

It is not an unprimeable number, because it can be changed into a prime (427965547) 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, 113185 + ... + 116904.

It is an arithmetic number, because the mean of its divisors is an integer number (25770080).

Almost surely, 2427965540 is an apocalyptic number.

It is an amenable number.

427965540 is an abundant number, since it is smaller than the sum of its proper divisors (808998300).

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

427965540 is a wasteful number, since it uses less digits than its factorization.

427965540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230132 (or 230130 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 427965540 is about 20687.3280053273. The cubic root of 427965540 is about 753.5919783474.

The spelling of 427965540 in words is "four hundred twenty-seven million, nine hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 230089 460178 690267 920356 1150445 1380534 2300890 2761068 3451335 4601780 6902670 7132759 13805340 14265518 21398277 28531036 35663795 42796554 71327590 85593108 106991385 142655180 213982770 427965540