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80637216 = 25311194019
BaseRepresentation
bin1001100111001…
…10110100100000
312121201210110120
410303212310200
5131120342331
612000200240
71666255632
oct463466440
9177653416
1080637216
1141576a30
1223009080
131392443a
14a9d0a52
15712c796
hex4ce6d20

80637216 has 96 divisors (see below), whose sum is σ = 243129600. Its totient is φ = 23143680.

The previous prime is 80637211. The next prime is 80637223. The reversal of 80637216 is 61273608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (80637211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18055 + ... + 22073.

It is an arithmetic number, because the mean of its divisors is an integer number (2532600).

Almost surely, 280637216 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 80637216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121564800).

80637216 is an abundant number, since it is smaller than the sum of its proper divisors (162492384).

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

80637216 is a wasteful number, since it uses less digits than its factorization.

80637216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 80637216 is about 8979.8227153992. The cubic root of 80637216 is about 432.0279474375.

The spelling of 80637216 in words is "eighty million, six hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 4019 5016 6688 8038 10032 12057 16076 20064 24114 32152 44209 48228 64304 76361 88418 96456 128608 132627 152722 176836 192912 229083 265254 305444 353672 385824 458166 530508 610888 707344 839971 916332 1061016 1221776 1414688 1679942 1832664 2122032 2443552 2519913 3359884 3665328 4244064 5039826 6719768 7330656 10079652 13439536 20159304 26879072 40318608 80637216