Search a number
-
+
432227456 = 2761197281
BaseRepresentation
bin11001110000110…
…100010010000000
31010010022102121022
4121300310102000
51341122234311
6110520045012
713465605233
oct3160642200
91103272538
10432227456
11201a87981
12100903768
136b7163bb
144159341a
1527e2c5db
hex19c34480

432227456 has 64 divisors (see below), whose sum is σ = 882767160. Its totient is φ = 210739200.

The previous prime is 432227417. The next prime is 432227473. The reversal of 432227456 is 654722234.

It can be written as a sum of positive squares in 4 ways, for example, as 398401600 + 33825856 = 19960^2 + 5816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 1538036 + ... + 1538316.

Almost surely, 2432227456 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 432227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441383580).

432227456 is an abundant number, since it is smaller than the sum of its proper divisors (450539704).

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

432227456 is a wasteful number, since it uses less digits than its factorization.

432227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 432227456 is about 20790.0807117240. The cubic root of 432227456 is about 756.0852810115.

The spelling of 432227456 in words is "four hundred thirty-two million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 197 244 281 394 488 562 788 976 1124 1576 1952 2248 3152 3904 4496 6304 7808 8992 12017 12608 17141 17984 24034 25216 34282 35968 48068 55357 68564 96136 110714 137128 192272 221428 274256 384544 442856 548512 769088 885712 1097024 1538176 1771424 2194048 3376777 3542848 6753554 7085696 13507108 27014216 54028432 108056864 216113728 432227456