Search a number
-
+
42310624 = 254397317
BaseRepresentation
bin1010000101100…
…1101111100000
32221121121021011
42201121233200
541312414444
64110510304
71022430406
oct241315740
987547234
1042310624
1121979664
1212205394
1389c5495
145895476
153aab734
hex2859be0

42310624 has 48 divisors (see below), whose sum is σ = 86386608. Its totient is φ = 20385792.

The previous prime is 42310613. The next prime is 42310657. The reversal of 42310624 is 42601324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42310595 and 42310604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133314 + ... + 133630.

It is an arithmetic number, because the mean of its divisors is an integer number (1799721).

Almost surely, 242310624 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 42310624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43193304).

42310624 is an abundant number, since it is smaller than the sum of its proper divisors (44075984).

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

42310624 is a wasteful number, since it uses less digits than its factorization.

42310624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42310624 is about 6504.6617129563. The cubic root of 42310624 is about 348.4574949172.

Adding to 42310624 its reverse (42601324), we get a palindrome (84911948).

The spelling of 42310624 in words is "forty-two million, three hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 86 97 172 194 317 344 388 634 688 776 1268 1376 1552 2536 3104 4171 5072 8342 10144 13631 16684 27262 30749 33368 54524 61498 66736 109048 122996 133472 218096 245992 436192 491984 983968 1322207 2644414 5288828 10577656 21155312 42310624