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42864680 = 2354159443
BaseRepresentation
bin1010001110000…
…1000000101000
32222122202021202
42203201000220
541433132210
64130423332
71030225625
oct243410050
988582252
1042864680
1122217961
1212431b48
138b5a721
14599b34c
153b6a9a5
hex28e1028

42864680 has 64 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 16407040.

The previous prime is 42864677. The next prime is 42864713. The reversal of 42864680 is 8646824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96539 + ... + 96981.

It is an arithmetic number, because the mean of its divisors is an integer number (1573425).

Almost surely, 242864680 is an apocalyptic number.

42864680 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 42864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

42864680 is an abundant number, since it is smaller than the sum of its proper divisors (57834520).

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

42864680 is a wasteful number, since it uses less digits than its factorization.

42864680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 42864680 is about 6547.1123405666. The cubic root of 42864680 is about 349.9719161140.

The spelling of 42864680 in words is "forty-two million, eight hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 59 82 118 164 205 236 295 328 410 443 472 590 820 886 1180 1640 1772 2215 2360 2419 3544 4430 4838 8860 9676 12095 17720 18163 19352 24190 26137 36326 48380 52274 72652 90815 96760 104548 130685 145304 181630 209096 261370 363260 522740 726520 1045480 1071617 2143234 4286468 5358085 8572936 10716170 21432340 42864680