Search a number
-
+
42848080 = 24511232973
BaseRepresentation
bin1010001101110…
…0111101010000
32222121220111221
42203130331100
541432114310
64130214424
71030126342
oct243347520
988556457
1042848080
1122206440
1212424414
138b52cc2
145995292
153b65ada
hex28dcf50

42848080 has 160 divisors (see below), whose sum is σ = 118920960. Its totient is φ = 14192640.

The previous prime is 42848023. The next prime is 42848089. The reversal of 42848080 is 8084824.

42848080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42848089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586924 + ... + 586996.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 242848080 is an apocalyptic number.

42848080 is a gapful number since it is divisible by the number (40) 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 42848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59460480).

42848080 is an abundant number, since it is smaller than the sum of its proper divisors (76072880).

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

42848080 is a wasteful number, since it uses less digits than its factorization.

42848080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 42848080 is about 6545.8444833344. The cubic root of 42848080 is about 349.9267329631.

The spelling of 42848080 in words is "forty-two million, eight hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 29 40 44 46 55 58 73 80 88 92 110 115 116 145 146 176 184 220 230 232 253 290 292 319 365 368 440 460 464 506 580 584 638 667 730 803 880 920 1012 1160 1168 1265 1276 1334 1460 1595 1606 1679 1840 2024 2117 2320 2530 2552 2668 2920 3190 3212 3335 3358 4015 4048 4234 5060 5104 5336 5840 6380 6424 6670 6716 7337 8030 8395 8468 10120 10585 10672 12760 12848 13340 13432 14674 16060 16790 16936 18469 20240 21170 23287 25520 26680 26864 29348 32120 33580 33872 36685 36938 42340 46574 48691 53360 58696 64240 67160 73370 73876 84680 92345 93148 97382 116435 117392 134320 146740 147752 169360 184690 186296 194764 232870 243455 293480 295504 369380 372592 389528 465740 486910 535601 586960 738760 779056 931480 973820 1071202 1477520 1862960 1947640 2142404 2678005 3895280 4284808 5356010 8569616 10712020 21424040 42848080