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53940480 = 2835111277
BaseRepresentation
bin1100110111000…
…1000100000000
310202111110102120
43031301010000
5102302043410
65204044240
71223325606
oct315610400
9122443376
1053940480
11284a2310
1216093680
13b237b59
147241876
154b07570
hex3371100

53940480 has 144 divisors (see below), whose sum is σ = 188080704. Its totient is φ = 13066240.

The previous prime is 53940457. The next prime is 53940517. The reversal of 53940480 is 8404935.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41602 + ... + 42878.

It is an arithmetic number, because the mean of its divisors is an integer number (1306116).

Almost surely, 253940480 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 53940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94040352).

53940480 is an abundant number, since it is smaller than the sum of its proper divisors (134140224).

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

53940480 is a wasteful number, since it uses less digits than its factorization.

53940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53940480 is about 7344.4182887415. The cubic root of 53940480 is about 377.8373926169.

The spelling of 53940480 in words is "fifty-three million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1277 1280 1320 1408 1760 1920 2112 2554 2640 2816 3520 3831 3840 4224 5108 5280 6385 7040 7662 8448 10216 10560 12770 14047 14080 15324 19155 20432 21120 25540 28094 30648 38310 40864 42141 42240 51080 56188 61296 70235 76620 81728 84282 102160 112376 122592 140470 153240 163456 168564 204320 210705 224752 245184 280940 306480 326912 337128 408640 421410 449504 490368 561880 612960 674256 817280 842820 899008 980736 1123760 1225920 1348512 1634560 1685640 1798016 2247520 2451840 2697024 3371280 3596032 4495040 4903680 5394048 6742560 8990080 10788096 13485120 17980160 26970240 53940480