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422663072 = 25137871291
BaseRepresentation
bin11001001100010…
…101001110100000
31002110022111201212
4121030111032200
51331200204242
6105535045252
713321401566
oct3114251640
91073274655
10422663072
111a7645027
12b9670828
1369747bc0
14401c3a36
152718d782
hex193153a0

422663072 has 48 divisors (see below), whose sum is σ = 897960672. Its totient is φ = 194676480.

The previous prime is 422663063. The next prime is 422663077. The reversal of 422663072 is 270366224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (422663077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326747 + ... + 328037.

It is an arithmetic number, because the mean of its divisors is an integer number (18707514).

Almost surely, 2422663072 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 422663072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448980336).

422663072 is an abundant number, since it is smaller than the sum of its proper divisors (475297600).

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

422663072 is a wasteful number, since it uses less digits than its factorization.

422663072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 422663072 is about 20558.7711695033. The cubic root of 422663072 is about 750.4667151387.

The spelling of 422663072 in words is "four hundred twenty-two million, six hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 787 1291 1574 2582 3148 5164 6296 10231 10328 12592 16783 20462 20656 25184 33566 40924 41312 67132 81848 134264 163696 268528 327392 537056 1016017 2032034 4064068 8128136 13208221 16256272 26416442 32512544 52832884 105665768 211331536 422663072