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427871488 = 2811219727
BaseRepresentation
bin11001100000001…
…100110100000000
31002211010010100011
4121200030310000
51334013341423
6110242434304
713413563512
oct3140146400
91084103304
10427871488
111aa582200
12bb362994
136a84c7c5
1440b7bbb2
152786bb0d
hex1980cd00

427871488 has 108 divisors (see below), whose sum is σ = 989541280. Its totient is φ = 183997440.

The previous prime is 427871459. The next prime is 427871501. The reversal of 427871488 is 884178724.

Its product of digits (802816) is a multiple of the sum of its prime factors (784).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588181 + ... + 588907.

Almost surely, 2427871488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427871488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494770640).

427871488 is an abundant number, since it is smaller than the sum of its proper divisors (561669792).

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

427871488 is a wasteful number, since it uses less digits than its factorization.

427871488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 759 counting only the distinct ones).

The product of its digits is 802816, while the sum is 49.

The square root of 427871488 is about 20685.0547014022. The cubic root of 427871488 is about 753.5367698326.

The spelling of 427871488 in words is "four hundred twenty-seven million, eight hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 256 304 352 418 484 608 704 727 836 968 1216 1408 1454 1672 1936 2299 2432 2816 2908 3344 3872 4598 4864 5816 6688 7744 7997 9196 11632 13376 13813 15488 15994 18392 23264 26752 27626 30976 31988 36784 46528 53504 55252 63976 73568 87967 93056 110504 127952 147136 151943 175934 186112 221008 255904 294272 303886 351868 442016 511808 588544 607772 703736 884032 1023616 1215544 1407472 1671373 1768064 2047232 2431088 2814944 3342746 3536128 4862176 5629888 6685492 9724352 11259776 13370984 19448704 22519552 26741968 38897408 53483936 106967872 213935744 427871488