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546534016 = 2772412531
BaseRepresentation
bin100000100100110…
…111001010000000
31102002101210201121
4200210313022000
52104403042031
6130122042024
716354314430
oct4044671200
91362353647
10546534016
11260560106
12133049314
13892c8a12
145282a2c0
1532eab011
hex20937280

546534016 has 64 divisors (see below), whose sum is σ = 1249997760. Its totient is φ = 233164800.

The previous prime is 546534007. The next prime is 546534017. The reversal of 546534016 is 610435645.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (546534017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214671 + ... + 217201.

It is an arithmetic number, because the mean of its divisors is an integer number (19531215).

Almost surely, 2546534016 is an apocalyptic number.

546534016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624998880).

546534016 is an abundant number, since it is smaller than the sum of its proper divisors (703463744).

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

546534016 is a wasteful number, since it uses less digits than its factorization.

546534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 546534016 is about 23378.0669859593. The cubic root of 546534016 is about 817.5965793493.

The spelling of 546534016 in words is "five hundred forty-six million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 241 448 482 896 964 1687 1928 2531 3374 3856 5062 6748 7712 10124 13496 15424 17717 20248 26992 30848 35434 40496 53984 70868 80992 107968 141736 161984 215936 283472 323968 566944 609971 1133888 1219942 2267776 2439884 4269797 4879768 8539594 9759536 17079188 19519072 34158376 39038144 68316752 78076288 136633504 273267008 546534016