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42848784 = 24331171127
BaseRepresentation
bin1010001101110…
…1001000010000
32222121221111000
42203131020100
541432130114
64130222000
71030131366
oct243351020
988557430
1042848784
1122206a20
1212424900
138b53414
145995636
153b65e09
hex28dd210

42848784 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 12700800.

The previous prime is 42848719. The next prime is 42848791. The reversal of 42848784 is 48784824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337329 + ... + 337455.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 242848784 is an apocalyptic number.

42848784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42848784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

42848784 is an abundant number, since it is smaller than the sum of its proper divisors (94285296).

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

42848784 is a wasteful number, since it uses less digits than its factorization.

42848784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 42848784 is about 6545.8982576878. The cubic root of 42848784 is about 349.9286494011.

The spelling of 42848784 in words is "forty-two million, eight hundred forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 127 132 142 144 176 198 213 216 254 264 284 297 381 396 426 432 508 528 568 594 639 762 781 792 852 1016 1136 1143 1188 1278 1397 1524 1562 1584 1704 1917 2032 2286 2343 2376 2556 2794 3048 3124 3408 3429 3834 4191 4572 4686 4752 5112 5588 6096 6248 6858 7029 7668 8382 9017 9144 9372 10224 11176 12496 12573 13716 14058 15336 16764 18034 18288 18744 21087 22352 25146 27051 27432 28116 30672 33528 36068 37488 37719 42174 50292 54102 54864 56232 67056 72136 75438 81153 84348 99187 100584 108204 112464 144272 150876 162306 168696 198374 201168 216408 243459 297561 301752 324612 337392 396748 432816 486918 595122 603504 649224 793496 892683 973836 1190244 1298448 1586992 1785366 1947672 2380488 2678049 3570732 3895344 4760976 5356098 7141464 10712196 14282928 21424392 42848784