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63214368 = 2537194951
BaseRepresentation
bin1111000100100…
…1001100100000
311101221121210220
43301021030200
5112140324433
610134523040
71365212310
oct361111440
9141847726
1063214368
1132756988
1219206480
1310134069
148577440
15583a2b3
hex3c49320

63214368 has 96 divisors (see below), whose sum is σ = 199664640. Its totient is φ = 17107200.

The previous prime is 63214357. The next prime is 63214369. The reversal of 63214368 is 86341236.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (63214369) 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, 10293 + ... + 15243.

It is an arithmetic number, because the mean of its divisors is an integer number (2079840).

Almost surely, 263214368 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 63214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99832320).

63214368 is an abundant number, since it is smaller than the sum of its proper divisors (136450272).

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

63214368 is a wasteful number, since it uses less digits than its factorization.

63214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4982 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 63214368 is about 7950.7463800577. The cubic root of 63214368 is about 398.3565233762.

The spelling of 63214368 in words is "sixty-three million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 4951 6384 9902 12768 14853 19804 29706 34657 39608 59412 69314 79216 94069 103971 118824 138628 158432 188138 207942 237648 277256 282207 376276 415884 475296 554512 564414 658483 752552 831768 1109024 1128828 1316966 1505104 1663536 1975449 2257656 2633932 3010208 3327072 3950898 4515312 5267864 7901796 9030624 10535728 15803592 21071456 31607184 63214368