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42289464 = 23372111193
BaseRepresentation
bin1010000101010…
…0100100111000
32221120112020110
42201110210320
541311230324
64110224320
71022311620
oct241244470
987515213
1042289464
1121964778
12121b50a0
1389b8969
14588b880
153aa5329
hex2854938

42289464 has 64 divisors (see below), whose sum is σ = 121501440. Its totient is φ = 12015360.

The previous prime is 42289463. The next prime is 42289477. The reversal of 42289464 is 46498224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42289463) 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, 34852 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (1898460).

Almost surely, 242289464 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 42289464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60750720).

42289464 is an abundant number, since it is smaller than the sum of its proper divisors (79211976).

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

42289464 is a wasteful number, since it uses less digits than its factorization.

42289464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 42289464 is about 6503.0349837595. The cubic root of 42289464 is about 348.3993961121.

The spelling of 42289464 in words is "forty-two million, two hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1193 1266 1477 1688 2386 2532 2954 3579 4431 4772 5064 5908 7158 8351 8862 9544 11816 14316 16702 17724 25053 28632 33404 35448 50106 66808 100212 200424 251723 503446 755169 1006892 1510338 1762061 2013784 3020676 3524122 5286183 6041352 7048244 10572366 14096488 21144732 42289464