Search a number
-
+
42453738 = 23229167487
BaseRepresentation
bin1010000111110…
…0101011101010
32221212212120200
42201330223222
541332004423
64113533030
71023564555
oct241745352
987785520
1042453738
1121a67138
1212274176
138a45672
1458d169c
153ad8d43
hex287caea

42453738 has 48 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 13553568.

The previous prime is 42453727. The next prime is 42453739. The reversal of 42453738 is 83735424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42453739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86931 + ... + 87417.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 242453738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42453738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

42453738 is an abundant number, since it is smaller than the sum of its proper divisors (53467542).

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

42453738 is a wasteful number, since it uses less digits than its factorization.

42453738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 688 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42453738 is about 6515.6533056939. The cubic root of 42453738 is about 348.8499339774.

The spelling of 42453738 in words is "forty-two million, four hundred fifty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 167 174 261 334 487 501 522 974 1002 1461 1503 2922 3006 4383 4843 8766 9686 14123 14529 28246 29058 42369 43587 81329 84738 87174 127107 162658 243987 254214 487974 731961 1463922 2358541 4717082 7075623 14151246 21226869 42453738