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42894384 = 24313531297
BaseRepresentation
bin1010001110100…
…0010000110000
32222201021000220
42203220100300
541440110014
64131213040
71030411341
oct243502060
988637026
1042894384
1122238205
1212447180
138b6b0c0
1459a80c8
153b746a9
hex28e8430

42894384 has 80 divisors (see below), whose sum is σ = 121679712. Its totient is φ = 12939264.

The previous prime is 42894373. The next prime is 42894389. The reversal of 42894384 is 48349824.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42894389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32424 + ... + 33720.

Almost surely, 242894384 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 42894384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60839856).

42894384 is an abundant number, since it is smaller than the sum of its proper divisors (78785328).

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

42894384 is a wasteful number, since it uses less digits than its factorization.

42894384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 42894384 is about 6549.3804287123. The cubic root of 42894384 is about 350.0527376314.

The spelling of 42894384 in words is "forty-two million, eight hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1297 1378 2067 2544 2594 2756 3891 4134 5188 5512 7782 8268 10376 11024 15564 16536 16861 20752 31128 33072 33722 50583 62256 67444 68741 101166 134888 137482 202332 206223 269776 274964 404664 412446 549928 809328 824892 893633 1099856 1649784 1787266 2680899 3299568 3574532 5361798 7149064 10723596 14298128 21447192 42894384