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54798336 = 21133991
BaseRepresentation
bin1101000100001…
…0100000000000
310211010001012000
43101002200000
5103012021321
65234304000
71233530625
oct321024000
9124101160
1054798336
1128a2888a
1216428000
13b478468
1473c634c
154c26826
hex3442800

54798336 has 96 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 18247680.

The previous prime is 54798323. The next prime is 54798349. The reversal of 54798336 is 63389745.

It is an interprime number because it is at equal distance from previous prime (54798323) and next prime (54798349).

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

It is a junction number, because it is equal to n+sod(n) for n = 54798291 and 54798300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54801 + ... + 55791.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 254798336 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 54798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

54798336 is an abundant number, since it is smaller than the sum of its proper divisors (107691264).

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

54798336 is an equidigital number, since it uses as much as digits as its factorization.

54798336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 996 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 54798336 is about 7402.5898170843. The cubic root of 54798336 is about 379.8298776812.

The spelling of 54798336 in words is "fifty-four million, seven hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 991 1024 1152 1536 1728 1982 2048 2304 2973 3072 3456 3964 4608 5946 6144 6912 7928 8919 9216 11892 13824 15856 17838 18432 23784 26757 27648 31712 35676 47568 53514 55296 63424 71352 95136 107028 126848 142704 190272 214056 253696 285408 380544 428112 507392 570816 761088 856224 1014784 1141632 1522176 1712448 2029568 2283264 3044352 3424896 4566528 6088704 6849792 9133056 13699584 18266112 27399168 54798336