Search a number
-
+
53863440 = 24352971109
BaseRepresentation
bin1100110101111…
…0010000010000
310202100112202020
43031132100100
5102242112230
65202251440
71222555161
oct315362020
9122315666
1053863440
112844a444
1216056b80
13b20ba77
147221768
154ade810
hex335e410

53863440 has 160 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 13547520.

The previous prime is 53863417. The next prime is 53863451. The reversal of 53863440 is 4436835.

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 31 ways as a sum of consecutive naturals, for example, 494106 + ... + 494214.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 253863440 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 53863440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

53863440 is an abundant number, since it is smaller than the sum of its proper divisors (122910960).

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

53863440 is a wasteful number, since it uses less digits than its factorization.

53863440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 53863440 is about 7339.1716153800. The cubic root of 53863440 is about 377.6574259712.

The spelling of 53863440 in words is "fifty-three million, eight hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 71 80 87 109 116 120 142 145 174 213 218 232 240 284 290 327 348 355 426 435 436 464 545 568 580 654 696 710 852 870 872 1065 1090 1136 1160 1308 1392 1420 1635 1704 1740 1744 2059 2130 2180 2320 2616 2840 3161 3270 3408 3480 4118 4260 4360 5232 5680 6177 6322 6540 6960 7739 8236 8520 8720 9483 10295 12354 12644 13080 15478 15805 16472 17040 18966 20590 23217 24708 25288 26160 30885 30956 31610 32944 37932 38695 41180 46434 47415 49416 50576 61770 61912 63220 75864 77390 82360 92868 94830 98832 116085 123540 123824 126440 151728 154780 164720 185736 189660 224431 232170 247080 252880 309560 371472 379320 448862 464340 494160 619120 673293 758640 897724 928680 1122155 1346586 1795448 1857360 2244310 2693172 3366465 3590896 4488620 5386344 6732930 8977240 10772688 13465860 17954480 26931720 53863440