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73386048 = 2633111229
BaseRepresentation
bin1000101111111…
…00100001000000
312010002101201210
410113330201000
5122241323143
611140530120
71550525331
oct427744100
9163071653
1073386048
113847402a
12206b0940
1312285ac8
149a64288
156699033
hex45fc840

73386048 has 56 divisors (see below), whose sum is σ = 194950080. Its totient is φ = 24363520.

The previous prime is 73386043. The next prime is 73386073. The reversal of 73386048 is 84068337.

It is a junction number, because it is equal to n+sod(n) for n = 73385997 and 73386015.

It is not an unprimeable number, because it can be changed into a prime (73386041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59098 + ... + 60326.

Almost surely, 273386048 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 73386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97475040).

73386048 is an abundant number, since it is smaller than the sum of its proper divisors (121564032).

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

73386048 is a wasteful number, since it uses less digits than its factorization.

73386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 73386048 is about 8566.5657062793. The cubic root of 73386048 is about 418.6693487506.

The spelling of 73386048 in words is "seventy-three million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1229 1244 1866 2458 2488 3687 3732 4916 4976 7374 7464 9832 9952 14748 14928 19664 19904 29496 29856 39328 58992 59712 78656 117984 235968 382219 764438 1146657 1528876 2293314 3057752 4586628 6115504 9173256 12231008 18346512 24462016 36693024 73386048