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42782544 = 2432742443
BaseRepresentation
bin1010001100110…
…0111101010000
32222111120121200
42203030331100
541423020134
64124551200
71026434310
oct243147520
988446550
1042782544
1122171182
12123b2500
138b2c21c
145979440
153b51499
hex28ccf50

42782544 has 60 divisors (see below), whose sum is σ = 136839456. Its totient is φ = 12223296.

The previous prime is 42782543. The next prime is 42782563. The reversal of 42782544 is 44528724.

42782544 is a `hidden beast` number, since 42 + 78 + 2 + 544 = 666.

It is a super-2 number, since 2×427825442 = 3660692142223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42782499 and 42782508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20214 + ... + 22229.

Almost surely, 242782544 is an apocalyptic number.

It is an amenable number.

42782544 is an abundant number, since it is smaller than the sum of its proper divisors (94056912).

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

42782544 is a wasteful number, since it uses less digits than its factorization.

42782544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42464 (or 42455 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42782544 is about 6540.8366437330. The cubic root of 42782544 is about 349.7482379936.

The spelling of 42782544 in words is "forty-two million, seven hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 42443 84886 127329 169772 254658 297101 339544 381987 509316 594202 679088 763974 891303 1018632 1188404 1527948 1782606 2037264 2376808 2673909 3055896 3565212 4753616 5347818 6111792 7130424 10695636 14260848 21391272 42782544