[go: up one dir, main page]

Search a number
-
+
53998848 = 2832231019
BaseRepresentation
bin1100110111111…
…1010100000000
310202121102111100
43031333110000
5102310430343
65205214400
71223661021
oct315772400
9122542440
1053998848
1128532152
1216101400
13b2585a7
147258c48
154b199d3
hex337f500

53998848 has 108 divisors (see below), whose sum is σ = 162620640. Its totient is φ = 17200128.

The previous prime is 53998843. The next prime is 53998853. The reversal of 53998848 is 84889935.

It is a happy number.

53998848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53998843) and next prime (53998853).

It is a junction number, because it is equal to n+sod(n) for n = 53998794 and 53998803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53998843) 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 11 ways as a sum of consecutive naturals, for example, 52483 + ... + 53501.

Almost surely, 253998848 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 53998848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81310320).

53998848 is an abundant number, since it is smaller than the sum of its proper divisors (108621792).

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

53998848 is a wasteful number, since it uses less digits than its factorization.

53998848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1047 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 53998848 is about 7348.3908442597. The cubic root of 53998848 is about 377.9736271178.

The spelling of 53998848 in words is "fifty-three million, nine hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1019 1104 1152 1472 1656 2038 2208 2304 2944 3057 3312 4076 4416 5888 6114 6624 8152 8832 9171 12228 13248 16304 17664 18342 23437 24456 26496 32608 36684 46874 48912 52992 65216 70311 73368 93748 97824 130432 140622 146736 187496 195648 210933 260864 281244 293472 374992 391296 421866 562488 586944 749984 782592 843732 1124976 1173888 1499968 1687464 2249952 2347776 2999936 3374928 4499904 5999872 6749856 8999808 13499712 17999616 26999424 53998848