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42361792 = 2611193167
BaseRepresentation
bin1010000110011…
…0001111000000
32221201012110021
42201212033000
541321034132
64111543224
71023032524
oct241461700
987635407
1042361792
1121a04050
121222ab14
138a12865
1458a9d84
153abb997
hex28663c0

42361792 has 56 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 18236160.

The previous prime is 42361777. The next prime is 42361793. The reversal of 42361792 is 29716324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42361793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11793 + ... + 14959.

Almost surely, 242361792 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 42361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

42361792 is an abundant number, since it is smaller than the sum of its proper divisors (54198848).

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

42361792 is a wasteful number, since it uses less digits than its factorization.

42361792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3199 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 42361792 is about 6508.5937037120. The cubic root of 42361792 is about 348.5979063850.

The spelling of 42361792 in words is "forty-two million, three hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3167 3344 6334 6688 12668 13376 25336 34837 50672 60173 69674 101344 120346 139348 202688 240692 278696 481384 557392 661903 962768 1114784 1323806 1925536 2229568 2647612 3851072 5295224 10590448 21180896 42361792