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80411616 = 2538383
BaseRepresentation
bin1001100101011…
…11101111100000
312121022100000000
410302233233200
5131041132431
611551300000
71664326125
oct462575740
9177270000
1080411616
114143248a
1222b1a600
131387584c
14a97274c
1570d59e6
hex4cafbe0

80411616 has 108 divisors (see below), whose sum is σ = 238073472. Its totient is φ = 26733888.

The previous prime is 80411593. The next prime is 80411621. The reversal of 80411616 is 61611408.

80411616 is a `hidden beast` number, since 8 + 0 + 41 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 80411616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209761 + ... + 210143.

It is an arithmetic number, because the mean of its divisors is an integer number (2204384).

Almost surely, 280411616 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 80411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119036736).

80411616 is an abundant number, since it is smaller than the sum of its proper divisors (157661856).

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

80411616 is an frugal number, since it uses more digits than its factorization.

80411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80411616 is about 8967.2524220075. The cubic root of 80411616 is about 431.6246740074.

The spelling of 80411616 in words is "eighty million, four hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 383 432 486 648 729 766 864 972 1149 1296 1458 1532 1944 2187 2298 2592 2916 3064 3447 3888 4374 4596 5832 6128 6561 6894 7776 8748 9192 10341 11664 12256 13122 13788 17496 18384 20682 23328 26244 27576 31023 34992 36768 41364 52488 55152 62046 69984 82728 93069 104976 110304 124092 165456 186138 209952 248184 279207 330912 372276 496368 558414 744552 837621 992736 1116828 1489104 1675242 2233656 2512863 2978208 3350484 4467312 5025726 6700968 8934624 10051452 13401936 20102904 26803872 40205808 80411616