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80054016 = 283714891
BaseRepresentation
bin1001100010110…
…00011100000000
312120122011110120
410301120130000
5130443212031
611535500240
71661306430
oct461303400
9176564416
1080054016
1141208849
1222987680
131377bb53
14a8bc2c0
157064a96
hex4c58700

80054016 has 72 divisors (see below), whose sum is σ = 243513984. Its totient is φ = 22871040.

The previous prime is 80053999. The next prime is 80054129. The reversal of 80054016 is 61045008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2070 + ... + 12821.

Almost surely, 280054016 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 80054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121756992).

80054016 is an abundant number, since it is smaller than the sum of its proper divisors (163459968).

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

80054016 is a wasteful number, since it uses less digits than its factorization.

80054016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 80054016 is about 8947.2909866618. The cubic root of 80054016 is about 430.9838944748.

It can be divided in two parts, 8005 and 4016, that added together give a palindrome (12021).

The spelling of 80054016 in words is "eighty million, fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 14891 29782 44673 59564 89346 104237 119128 178692 208474 238256 312711 357384 416948 476512 625422 714768 833896 953024 1250844 1429536 1667792 1906048 2501688 2859072 3335584 3812096 5003376 5718144 6671168 10006752 11436288 13342336 20013504 26684672 40027008 80054016