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42762552 = 2337331769
BaseRepresentation
bin1010001100100…
…0000100111000
32222110120012020
42203020010320
541421400202
64124314440
71026322110
oct243100470
988416166
1042762552
1122158158
12123a2a20
138b230b1
145972040
153b4a5bc
hex28c8138

42762552 has 64 divisors (see below), whose sum is σ = 122707200. Its totient is φ = 12165120.

The previous prime is 42762541. The next prime is 42762557. The reversal of 42762552 is 25526724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42762557) 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, 55224 + ... + 55992.

It is an arithmetic number, because the mean of its divisors is an integer number (1917300).

Almost surely, 242762552 is an apocalyptic number.

42762552 is a gapful number since it is divisible by the number (42) 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 42762552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61353600).

42762552 is an abundant number, since it is smaller than the sum of its proper divisors (79944648).

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

42762552 is a wasteful number, since it uses less digits than its factorization.

42762552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 42762552 is about 6539.3082202936. The cubic root of 42762552 is about 349.6937511591.

The spelling of 42762552 in words is "forty-two million, seven hundred sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 331 662 769 993 1324 1538 1986 2307 2317 2648 3076 3972 4614 4634 5383 6152 6951 7944 9228 9268 10766 13902 16149 18456 18536 21532 27804 32298 43064 55608 64596 129192 254539 509078 763617 1018156 1527234 1781773 2036312 3054468 3563546 5345319 6108936 7127092 10690638 14254184 21381276 42762552