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63998424 = 233574703
BaseRepresentation
bin1111010000100…
…0100111011000
311110102110100000
43310020213120
5112340422144
610203413000
71404656220
oct364104730
9143373300
1063998424
1133141a66
1219524160
1310349bb9
1486dd080
155942769
hex3d089d8

63998424 has 96 divisors (see below), whose sum is σ = 205470720. Its totient is φ = 18281376.

The previous prime is 63998423. The next prime is 63998437. The reversal of 63998424 is 42489936.

63998424 is a `hidden beast` number, since 639 + 9 + 8 + 4 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63998424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63998423) 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, 11257 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 263998424 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 63998424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102735360).

63998424 is an abundant number, since it is smaller than the sum of its proper divisors (141472296).

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

63998424 is a wasteful number, since it uses less digits than its factorization.

63998424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4715 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 63998424 is about 7999.9014993936. The cubic root of 63998424 is about 399.9967166397.

The spelling of 63998424 in words is "sixty-three million, nine hundred ninety-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 4703 6804 9406 13608 14109 18812 28218 32921 37624 42327 56436 65842 84654 98763 112872 126981 131684 169308 197526 253962 263368 296289 338616 380943 395052 507924 592578 761886 790104 888867 1015848 1142829 1185156 1523772 1777734 2285658 2370312 2666601 3047544 3555468 4571316 5333202 7110936 7999803 9142632 10666404 15999606 21332808 31999212 63998424