Search a number
-
+
63425280 = 283583199
BaseRepresentation
bin1111000111110…
…0101100000000
311102100100010110
43301330230000
5112214102110
610143231320
71400051232
oct361745400
9142310113
1063425280
1132890396
12192a8540
13101a9069
1485d0252
15587ca20
hex3c7cb00

63425280 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 16625664.

The previous prime is 63425269. The next prime is 63425281. The reversal of 63425280 is 8252436.

It is a super-2 number, since 2×634252802 = 8045532286156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63425281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318621 + ... + 318819.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 263425280 is an apocalyptic number.

63425280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

63425280 is an abundant number, since it is smaller than the sum of its proper divisors (142609920).

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

63425280 is a wasteful number, since it uses less digits than its factorization.

63425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 63425280 is about 7963.9989954796. The cubic root of 63425280 is about 398.7990646609.

The spelling of 63425280 in words is "sixty-three million, four hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 199 240 249 256 320 332 384 398 415 480 498 597 640 664 768 796 830 960 995 996 1194 1245 1280 1328 1592 1660 1920 1990 1992 2388 2490 2656 2985 3184 3320 3840 3980 3984 4776 4980 5312 5970 6368 6640 7960 7968 9552 9960 10624 11940 12736 13280 15920 15936 16517 19104 19920 21248 23880 25472 26560 31840 31872 33034 38208 39840 47760 49551 50944 53120 63680 63744 66068 76416 79680 82585 95520 99102 106240 127360 132136 152832 159360 165170 191040 198204 247755 254720 264272 318720 330340 382080 396408 495510 528544 660680 764160 792816 991020 1057088 1321360 1585632 1982040 2114176 2642720 3171264 3964080 4228352 5285440 6342528 7928160 10570880 12685056 15856320 21141760 31712640 63425280