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63898992 = 24324179137
BaseRepresentation
bin1111001111000…
…0010101110000
311110020101221100
43303300111300
5112324231432
610201324400
71404063303
oct363602560
9143211840
1063898992
1133084293
1219496700
1310313871
1486b4b3a
15592307c
hex3cf0570

63898992 has 120 divisors (see below), whose sum is σ = 186863040. Its totient is φ = 20367360.

The previous prime is 63898969. The next prime is 63898997. The reversal of 63898992 is 29989836.

63898992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×638989923 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63898997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466348 + ... + 466484.

It is an arithmetic number, because the mean of its divisors is an integer number (1557192).

Almost surely, 263898992 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 63898992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

63898992 is an abundant number, since it is smaller than the sum of its proper divisors (122964048).

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

63898992 is a wasteful number, since it uses less digits than its factorization.

63898992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 63898992 is about 7993.6845071594. The cubic root of 63898992 is about 399.7894558640.

The spelling of 63898992 in words is "sixty-three million, eight hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 79 82 123 137 144 158 164 237 246 274 316 328 369 411 474 492 548 632 656 711 738 822 948 984 1096 1233 1264 1422 1476 1644 1896 1968 2192 2466 2844 2952 3239 3288 3792 4932 5617 5688 5904 6478 6576 9717 9864 10823 11234 11376 12956 16851 19434 19728 21646 22468 25912 29151 32469 33702 38868 43292 44936 50553 51824 58302 64938 67404 77736 86584 89872 97407 101106 116604 129876 134808 155472 173168 194814 202212 233208 259752 269616 389628 404424 443743 466416 519504 779256 808848 887486 1331229 1558512 1774972 2662458 3549944 3993687 5324916 7099888 7987374 10649832 15974748 21299664 31949496 63898992