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42967232 = 267118719
BaseRepresentation
bin1010001111101…
…0000011000000
32222211221221222
42203322003000
541444422412
64132534212
71031133620
oct243720300
988757858
1042967232
1122287a10
1212481368
138b952c9
1459c6880
153b8b072
hex28fa0c0

42967232 has 56 divisors (see below), whose sum is σ = 106314240. Its totient is φ = 16738560.

The previous prime is 42967229. The next prime is 42967247. The reversal of 42967232 is 23276924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 42967192 and 42967201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569 + ... + 9287.

Almost surely, 242967232 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 42967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53157120).

42967232 is an abundant number, since it is smaller than the sum of its proper divisors (63347008).

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

42967232 is a wasteful number, since it uses less digits than its factorization.

42967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8739 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 42967232 is about 6554.9395115439. The cubic root of 42967232 is about 350.2507916815.

The spelling of 42967232 in words is "forty-two million, nine hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 8719 17438 34876 61033 69752 95909 122066 139504 191818 244132 279008 383636 488264 558016 671363 767272 976528 1342726 1534544 1953056 2685452 3069088 3906112 5370904 6138176 10741808 21483616 42967232