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42867384 = 2337476189
BaseRepresentation
bin1010001110000…
…1101010111000
32222122212222220
42203201222320
541433224014
64130444040
71030236540
oct243415270
988585886
1042867384
112221999a
1212433620
138b5ba21
14599c320
153b6b6a9
hex28e1ab8

42867384 has 128 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 11658240.

The previous prime is 42867379. The next prime is 42867403. The reversal of 42867384 is 48376824.

It is a super-2 number, since 2×428673842 = 3675225222006912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 481612 + ... + 481700.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 242867384 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 42867384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

42867384 is an abundant number, since it is smaller than the sum of its proper divisors (85695816).

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

42867384 is a wasteful number, since it uses less digits than its factorization.

42867384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 42867384 is about 6547.3188405637. The cubic root of 42867384 is about 349.9792749633.

The spelling of 42867384 in words is "forty-two million, eight hundred sixty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 61 84 89 94 122 141 168 178 183 188 244 267 282 329 356 366 376 427 488 534 564 623 658 712 732 854 987 1068 1128 1246 1281 1316 1464 1708 1869 1974 2136 2492 2562 2632 2867 3416 3738 3948 4183 4984 5124 5429 5734 7476 7896 8366 8601 10248 10858 11468 12549 14952 16287 16732 17202 20069 21716 22936 25098 29281 32574 33464 34404 38003 40138 43432 50196 58562 60207 65148 68808 76006 80276 87843 100392 114009 117124 120414 130296 152012 160552 175686 228018 234248 240828 255163 304024 351372 456036 481656 510326 702744 765489 912072 1020652 1530978 1786141 2041304 3061956 3572282 5358423 6123912 7144564 10716846 14289128 21433692 42867384