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63426048 = 293717347
BaseRepresentation
bin1111000111110…
…0111000000000
311102100101011220
43301330320000
5112214113143
610143235040
71400053410
oct361747000
9142311156
1063426048
1132890a24
12192a8a80
13101a950a
1485d0640
15587cd83
hex3c7ce00

63426048 has 160 divisors (see below), whose sum is σ = 205058304. Its totient is φ = 17006592.

The previous prime is 63426043. The next prime is 63426049. The reversal of 63426048 is 84062436.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63426043) 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, 182611 + ... + 182957.

Almost surely, 263426048 is an apocalyptic number.

63426048 is a gapful number since it is divisible by the number (68) 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 63426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102529152).

63426048 is an abundant number, since it is smaller than the sum of its proper divisors (141632256).

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

63426048 is a wasteful number, since it uses less digits than its factorization.

63426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 63426048 is about 7964.0472123161. The cubic root of 63426048 is about 398.8006743053.

The spelling of 63426048 in words is "sixty-three million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 347 357 384 408 448 476 512 544 672 694 714 768 816 896 952 1041 1088 1344 1388 1428 1536 1632 1792 1904 2082 2176 2429 2688 2776 2856 3264 3584 3808 4164 4352 4858 5376 5552 5712 5899 6528 7287 7616 8328 8704 9716 10752 11104 11424 11798 13056 14574 15232 16656 17697 19432 22208 22848 23596 26112 29148 30464 33312 35394 38864 41293 44416 45696 47192 58296 60928 66624 70788 77728 82586 88832 91392 94384 116592 123879 133248 141576 155456 165172 177664 182784 188768 233184 247758 266496 283152 310912 330344 377536 466368 495516 532992 566304 621824 660688 755072 932736 991032 1132608 1243648 1321376 1510144 1865472 1982064 2265216 2642752 3020288 3730944 3964128 4530432 5285504 7928256 9060864 10571008 15856512 21142016 31713024 63426048