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63478240 = 2557192157
BaseRepresentation
bin1111001000100…
…1100111100000
311102110000202221
43302021213200
5112222300430
610144320424
71400361520
oct362114740
9142400687
1063478240
1132917161
1219313114
13101c71b7
148605680
15588d57a
hex3c899e0

63478240 has 144 divisors (see below), whose sum is σ = 182038752. Its totient is φ = 20487168.

The previous prime is 63478213. The next prime is 63478241. The reversal of 63478240 is 4287436.

It is a junction number, because it is equal to n+sod(n) for n = 63478196 and 63478205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63478241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404242 + ... + 404398.

It is an arithmetic number, because the mean of its divisors is an integer number (1264158).

Almost surely, 263478240 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 63478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91019376).

63478240 is an abundant number, since it is smaller than the sum of its proper divisors (118560512).

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

63478240 is a wasteful number, since it uses less digits than its factorization.

63478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 63478240 is about 7967.3232644345. The cubic root of 63478240 is about 398.9100326255.

The spelling of 63478240 in words is "sixty-three million, four hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 157 160 190 224 266 280 304 314 361 380 532 560 608 628 665 722 760 785 1064 1099 1120 1256 1330 1444 1520 1570 1805 2128 2198 2512 2527 2660 2888 2983 3040 3140 3610 4256 4396 5024 5054 5320 5495 5776 5966 6280 7220 8792 10108 10640 10990 11552 11932 12560 12635 14440 14915 17584 20216 20881 21280 21980 23864 25120 25270 28880 29830 35168 40432 41762 43960 47728 50540 56677 57760 59660 80864 83524 87920 95456 101080 104405 113354 119320 167048 175840 202160 208810 226708 238640 283385 334096 396739 404320 417620 453416 477280 566770 668192 793478 835240 906832 1133540 1586956 1670480 1813664 1983695 2267080 3173912 3340960 3967390 4534160 6347824 7934780 9068320 12695648 15869560 31739120 63478240