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42752612 = 22729371423
BaseRepresentation
bin1010001100010…
…1101001100100
32222110001120002
42203011221210
541421040422
64124200432
71026251120
oct243055144
988401502
1042752612
1122150741
1212399118
138b1b706
14596c580
153b47692
hex28c5a64

42752612 has 48 divisors (see below), whose sum is σ = 90908160. Its totient is φ = 17200512.

The previous prime is 42752597. The next prime is 42752617. The reversal of 42752612 is 21625724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (42752617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29333 + ... + 30755.

It is an arithmetic number, because the mean of its divisors is an integer number (1893920).

Almost surely, 242752612 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 42752612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454080).

42752612 is an abundant number, since it is smaller than the sum of its proper divisors (48155548).

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

42752612 is a wasteful number, since it uses less digits than its factorization.

42752612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 42752612 is about 6538.5481568923. The cubic root of 42752612 is about 349.6666540450. Note that the first 4 decimals are identical.

The spelling of 42752612 in words is "forty-two million, seven hundred fifty-two thousand, six hundred twelve".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 1423 2146 2846 4292 5692 7511 9961 15022 19922 30044 39844 41267 52651 82534 105302 165068 210604 288869 368557 577738 737114 1155476 1474228 1526879 3053758 6107516 10688153 21376306 42752612