Search a number
-
+
63427104 = 2533135647
BaseRepresentation
bin1111000111110…
…1001000100000
311102100102122000
43301331020200
5112214131404
610143244000
71400056446
oct361751040
9142312560
1063427104
11328917a4
12192a9600
13101a9b40
1485d0b96
15587d339
hex3c7d220

63427104 has 96 divisors (see below), whose sum is σ = 199261440. Its totient is φ = 19512576.

The previous prime is 63427099. The next prime is 63427109. The reversal of 63427104 is 40172436.

63427104 is a `hidden beast` number, since 634 + 27 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (63427099) and next prime (63427109).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (63427109) 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, 8409 + ... + 14055.

It is an arithmetic number, because the mean of its divisors is an integer number (2075640).

Almost surely, 263427104 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 63427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99630720).

63427104 is an abundant number, since it is smaller than the sum of its proper divisors (135834336).

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

63427104 is a wasteful number, since it uses less digits than its factorization.

63427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 63427104 is about 7964.1135099897. The cubic root of 63427104 is about 398.8028875452.

The spelling of 63427104 in words is "sixty-three million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 5647 11232 11294 16941 22588 33882 45176 50823 67764 73411 90352 101646 135528 146822 152469 180704 203292 220233 271056 293644 304938 406584 440466 542112 587288 609876 660699 813168 880932 1174576 1219752 1321398 1626336 1761864 1982097 2349152 2439504 2642796 3523728 3964194 4879008 5285592 7047456 7928388 10571184 15856776 21142368 31713552 63427104