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42886360 = 23511293361
BaseRepresentation
bin1010001110011…
…0010011011000
32222200212000201
42203212103120
541434330420
64131111544
71030346056
oct243462330
988625021
1042886360
1122232180
12124425b4
138b6755a
1459a51d6
153b7210a
hex28e64d8

42886360 has 64 divisors (see below), whose sum is σ = 108928800. Its totient is φ = 15052800.

The previous prime is 42886357. The next prime is 42886373. The reversal of 42886360 is 6368824.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 11080 + ... + 14440.

Almost surely, 242886360 is an apocalyptic number.

42886360 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 42886360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54464400).

42886360 is an abundant number, since it is smaller than the sum of its proper divisors (66042440).

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

42886360 is a wasteful number, since it uses less digits than its factorization.

42886360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42886360 is about 6548.7678230336. The cubic root of 42886360 is about 350.0309088350.

It can be divided in two parts, 4288 and 6360, that added together give a cube (10648 = 223).

The spelling of 42886360 in words is "forty-two million, eight hundred eighty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 3361 6380 6722 12760 13444 16805 26888 33610 36971 67220 73942 97469 134440 147884 184855 194938 295768 369710 389876 487345 739420 779752 974690 1072159 1478840 1949380 2144318 3898760 4288636 5360795 8577272 10721590 21443180 42886360