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82940016 = 24319199457
BaseRepresentation
bin1001111000110…
…01000001110000
312210001210022110
410330121001300
5132213040031
612121405320
72024656425
oct474310160
9183053273
1082940016
11428aa075
1223939840
131424c643
14b02dd4c
157434c46
hex4f19070

82940016 has 80 divisors (see below), whose sum is σ = 227168000. Its totient is φ = 26002944.

The previous prime is 82940009. The next prime is 82940021. The reversal of 82940016 is 61004928.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 181260 + ... + 181716.

It is an arithmetic number, because the mean of its divisors is an integer number (2839600).

Almost surely, 282940016 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 82940016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113584000).

82940016 is an abundant number, since it is smaller than the sum of its proper divisors (144227984).

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

82940016 is a wasteful number, since it uses less digits than its factorization.

82940016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 82940016 is about 9107.1409344536. The cubic root of 82940016 is about 436.1019597138.

The spelling of 82940016 in words is "eighty-two million, nine hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 199 228 304 398 456 457 597 796 912 914 1194 1371 1592 1828 2388 2742 3184 3656 3781 4776 5484 7312 7562 8683 9552 10968 11343 15124 17366 21936 22686 26049 30248 34732 45372 52098 60496 69464 90744 90943 104196 138928 181488 181886 208392 272829 363772 416784 545658 727544 1091316 1455088 1727917 2182632 3455834 4365264 5183751 6911668 10367502 13823336 20735004 27646672 41470008 82940016