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63521248 = 2572172383
BaseRepresentation
bin1111001001010…
…0000111100000
311102112012202211
43302110013200
5112230134443
610145251504
71400631100
oct362240740
9142465684
1063521248
11329464aa
1219333b94
131021094b
148617200
15589b19d
hex3c941e0

63521248 has 72 divisors (see below), whose sum is σ = 154096992. Its totient is φ = 25611264.

The previous prime is 63521243. The next prime is 63521251. The reversal of 63521248 is 84212536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63521243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25465 + ... + 27847.

It is an arithmetic number, because the mean of its divisors is an integer number (2140236).

Almost surely, 263521248 is an apocalyptic number.

63521248 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 63521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77048496).

63521248 is an abundant number, since it is smaller than the sum of its proper divisors (90575744).

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

63521248 is a wasteful number, since it uses less digits than its factorization.

63521248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2409 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 63521248 is about 7970.0218318396. The cubic root of 63521248 is about 399.0001025956. Note that the first 3 decimals are identical.

The spelling of 63521248 in words is "sixty-three million, five hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 2383 3332 3808 4766 6664 9532 13328 16681 19064 26656 33362 38128 40511 66724 76256 81022 116767 133448 162044 233534 266896 283577 324088 467068 533792 567154 648176 934136 1134308 1296352 1868272 1985039 2268616 3736544 3970078 4537232 7940156 9074464 15880312 31760624 63521248