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422710624 = 2573175953
BaseRepresentation
bin11001001100100…
…000110101100000
31002110101220222001
4121030200311200
51331203214444
6105540053344
713321660330
oct3114406540
91073356861
10422710624
111a7677826
12b9694254
136976373b
14401d70c0
152719c8d4
hex19320d60

422710624 has 48 divisors (see below), whose sum is σ = 954259488. Its totient is φ = 180559872.

The previous prime is 422710619. The next prime is 422710649. The reversal of 422710624 is 426017224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422710592 and 422710601.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68032 + ... + 73984.

It is an arithmetic number, because the mean of its divisors is an integer number (19880406).

Almost surely, 2422710624 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 422710624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477129744).

422710624 is an abundant number, since it is smaller than the sum of its proper divisors (531548864).

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

422710624 is a wasteful number, since it uses less digits than its factorization.

422710624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 422710624 is about 20559.9276263318. The cubic root of 422710624 is about 750.4948580082.

Adding to 422710624 its reverse (426017224), we get a palindrome (848727848).

The spelling of 422710624 in words is "four hundred twenty-two million, seven hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 317 634 1268 2219 2536 4438 5072 5953 8876 10144 11906 17752 23812 35504 41671 47624 71008 83342 95248 166684 190496 333368 666736 1333472 1887101 3774202 7548404 13209707 15096808 26419414 30193616 52838828 60387232 105677656 211355312 422710624