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42567392 = 257307619
BaseRepresentation
bin1010001001100…
…0011011100000
32222002122111002
42202120123200
541344124032
64120211132
71024550120
oct242303340
988078432
1042567392
112203456a
1212309aa8
138a8530a
145920c80
153b0c862
hex28986e0

42567392 has 48 divisors (see below), whose sum is σ = 96243840. Its totient is φ = 18154368.

The previous prime is 42567323. The next prime is 42567401. The reversal of 42567392 is 29376524.

42567392 is a modest number, since divided by 7392 gives 4256 as remainder.

It is a congruent number.

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, 68459 + ... + 69077.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 242567392 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 42567392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48121920).

42567392 is an abundant number, since it is smaller than the sum of its proper divisors (53676448).

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

42567392 is a wasteful number, since it uses less digits than its factorization.

42567392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 42567392 is about 6524.3690882721. The cubic root of 42567392 is about 349.1609616491.

The spelling of 42567392 in words is "forty-two million, five hundred sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 307 614 619 1228 1238 2149 2456 2476 4298 4333 4912 4952 8596 8666 9824 9904 17192 17332 19808 34384 34664 68768 69328 138656 190033 380066 760132 1330231 1520264 2660462 3040528 5320924 6081056 10641848 21283696 42567392