Search a number
-
+
63070848 = 2732531033
BaseRepresentation
bin1111000010011…
…0001010000000
311101200022221100
43300212022000
5112121231343
610131454400
71364044011
oct360461200
9141608840
1063070848
1132669075
1219157400
13100b3939
14853b008
15580c9d3
hex3c26280

63070848 has 96 divisors (see below), whose sum is σ = 185096340. Its totient is φ = 20606976.

The previous prime is 63070841. The next prime is 63070849. The reversal of 63070848 is 84807036.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 10188864 = 7272^2 + 3192^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (63070841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60540 + ... + 61572.

Almost surely, 263070848 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 63070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92548170).

63070848 is an abundant number, since it is smaller than the sum of its proper divisors (122025492).

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

63070848 is a wasteful number, since it uses less digits than its factorization.

63070848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 63070848 is about 7941.7156836543. The cubic root of 63070848 is about 398.0548227133.

The spelling of 63070848 in words is "sixty-three million, seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1033 1152 1272 1696 1908 2066 2544 3099 3392 3816 4132 5088 6198 6784 7632 8264 9297 10176 12396 15264 16528 18594 20352 24792 30528 33056 37188 49584 54749 61056 66112 74376 99168 109498 132224 148752 164247 198336 218996 297504 328494 396672 437992 492741 595008 656988 875984 985482 1190016 1313976 1751968 1970964 2627952 3503936 3941928 5255904 7007872 7883856 10511808 15767712 21023616 31535424 63070848