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42942288 = 2432397401
BaseRepresentation
bin1010001111001…
…1111101010000
32222210200202010
42203303331100
541443123123
64132222520
71031001114
oct243637520
988720663
1042942288
11222701a4
121246aa40
138b86b4c
1459bb744
153b83993
hex28f3f50

42942288 has 80 divisors (see below), whose sum is σ = 117242496. Its totient is φ = 13516800.

The previous prime is 42942283. The next prime is 42942313. The reversal of 42942288 is 88224924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42942283) 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, 106888 + ... + 107288.

Almost surely, 242942288 is an apocalyptic number.

42942288 is a gapful number since it is divisible by the number (48) 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 42942288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621248).

42942288 is an abundant number, since it is smaller than the sum of its proper divisors (74300208).

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

42942288 is a wasteful number, since it uses less digits than its factorization.

42942288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 42942288 is about 6553.0365480440. The cubic root of 42942288 is about 350.1830008982.

The spelling of 42942288 in words is "forty-two million, nine hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 401 552 582 776 802 1104 1164 1203 1552 1604 2231 2328 2406 3208 4462 4656 4812 6416 6693 8924 9223 9624 13386 17848 18446 19248 26772 27669 35696 36892 38897 53544 55338 73784 77794 107088 110676 116691 147568 155588 221352 233382 311176 442704 466764 622352 894631 933528 1789262 1867056 2683893 3578524 5367786 7157048 10735572 14314096 21471144 42942288