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462425540 = 225173133649
BaseRepresentation
bin11011100100000…
…000110111000100
31012020010122120212
4123210000313010
51421340104130
6113515214552
714313360263
oct3344006704
91166118525
10462425540
11218033175
1210aa47458
1374a5a5a5
14455b45da
152a8e4e95
hex1b900dc4

462425540 has 24 divisors (see below), whose sum is σ = 976714200. Its totient is φ = 183899648.

The previous prime is 462425521. The next prime is 462425573. The reversal of 462425540 is 45524264.

It can be written as a sum of positive squares in 4 ways, for example, as 14002564 + 448422976 = 3742^2 + 21176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 462425497 and 462425506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63365 + ... + 70284.

It is an arithmetic number, because the mean of its divisors is an integer number (40696425).

Almost surely, 2462425540 is an apocalyptic number.

It is an amenable number.

462425540 is an abundant number, since it is smaller than the sum of its proper divisors (514288660).

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

462425540 is a wasteful number, since it uses less digits than its factorization.

462425540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133831 (or 133829 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 462425540 is about 21504.0819380879. The cubic root of 462425540 is about 773.2986834620.

The spelling of 462425540 in words is "four hundred sixty-two million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 133649 267298 534596 668245 1336490 2672980 23121277 46242554 92485108 115606385 231212770 462425540