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48663468 = 223274563
BaseRepresentation
bin1011100110100…
…0101110101100
310101120100201200
42321220232230
544424212333
64455005500
71130430000
oct271505654
9111510650
1048663468
1125518647
1214369890
13a10ac69
14666a700
154413c13
hex2e68bac

48663468 has 90 divisors (see below), whose sum is σ = 143758524. Its totient is φ = 13879152.

The previous prime is 48663467. The next prime is 48663499. The reversal of 48663468 is 86436684.

48663468 is a `hidden beast` number, since 4 + 8 + 6 + 634 + 6 + 8 = 666.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (48663463) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 86155 + ... + 86717.

Almost surely, 248663468 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 48663468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71879262).

48663468 is an abundant number, since it is smaller than the sum of its proper divisors (95095056).

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

48663468 is a wasteful number, since it uses less digits than its factorization.

48663468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 575 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 48663468 is about 6975.9205844103. The cubic root of 48663468 is about 365.0909087377.

The spelling of 48663468 in words is "forty-eight million, six hundred sixty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 563 588 686 882 1029 1126 1372 1689 1764 2058 2252 2401 3087 3378 3941 4116 4802 5067 6174 6756 7203 7882 9604 10134 11823 12348 14406 15764 20268 21609 23646 27587 28812 35469 43218 47292 55174 70938 82761 86436 110348 141876 165522 193109 248283 331044 386218 496566 579327 772436 993132 1158654 1351763 1737981 2317308 2703526 3475962 4055289 5407052 6951924 8110578 12165867 16221156 24331734 48663468