Search a number
-
+
422553456 = 243313671123
BaseRepresentation
bin11001001011111…
…010011101110000
31002110002221101000
4121023322131300
51331133202311
6105532442000
713320434163
oct3113723560
91073087330
10422553456
111a757a736
12b9619300
136970a040
1440195ada
152716b056
hex192fa770

422553456 has 160 divisors (see below), whose sum is σ = 1326859520. Its totient is φ = 127961856.

The previous prime is 422553449. The next prime is 422553473. The reversal of 422553456 is 654355224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 422553456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375711 + ... + 376833.

It is an arithmetic number, because the mean of its divisors is an integer number (8292872).

Almost surely, 2422553456 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 422553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663429760).

422553456 is an abundant number, since it is smaller than the sum of its proper divisors (904306064).

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

422553456 is a wasteful number, since it uses less digits than its factorization.

422553456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1208 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 422553456 is about 20556.1050785405. The cubic root of 422553456 is about 750.4018326689.

It can be divided in two parts, 422 and 553456, that added together give a triangular number (553878 = T1052).

The spelling of 422553456 in words is "four hundred twenty-two million, five hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1123 1206 1404 1608 1742 1809 1872 2246 2412 2613 2808 3216 3369 3484 3618 4492 4824 5226 5616 6738 6968 7236 7839 8984 9648 10107 10452 13476 13936 14472 14599 15678 17968 20214 20904 23517 26952 28944 29198 30321 31356 40428 41808 43797 47034 53904 58396 60642 62712 75241 80856 87594 94068 116792 121284 125424 131391 150482 161712 175188 188136 225723 233584 242568 262782 300964 350376 376272 394173 451446 485136 525564 601928 677169 700752 788346 902892 978133 1051128 1203856 1354338 1576692 1805784 1956266 2031507 2102256 2708676 2934399 3153384 3611568 3912532 4063014 5417352 5868798 6306768 7825064 8126028 8803197 10834704 11737596 15650128 16252056 17606394 23475192 26409591 32504112 35212788 46950384 52819182 70425576 105638364 140851152 211276728 422553456