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42206480 = 245527581
BaseRepresentation
bin1010000100000…
…0010100010000
32221102022101222
42201000110100
541301101410
64104344212
71021514651
oct241002420
987368358
1042206480
1121908398
1212175068
138989c64
145869528
153a8a955
hex2840510

42206480 has 20 divisors (see below), whose sum is σ = 98130252. Its totient is φ = 16882560.

The previous prime is 42206473. The next prime is 42206501. The reversal of 42206480 is 8460224.

42206480 = T469 + T470 + ... + T708.

It can be written as a sum of positive squares in 2 ways, for example, as 14622976 + 27583504 = 3824^2 + 5252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263711 + ... + 263870.

Almost surely, 242206480 is an apocalyptic number.

42206480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42206480 is an abundant number, since it is smaller than the sum of its proper divisors (55923772).

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

42206480 is a wasteful number, since it uses less digits than its factorization.

42206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527594 (or 527588 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 42206480 is about 6496.6514451677. The cubic root of 42206480 is about 348.1713605345.

The spelling of 42206480 in words is "forty-two million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 527581 1055162 2110324 2637905 4220648 5275810 8441296 10551620 21103240 42206480