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80947296 = 2533194931
BaseRepresentation
bin1001101001100…
…10100001100000
312122022112211000
410310302201200
5131210303141
612010552000
72002016643
oct464624140
9178275730
1080947296
11417689a1
1223138600
1313a02611
14aa71a5a
15718e5b6
hex4d32860

80947296 has 96 divisors (see below), whose sum is σ = 248572800. Its totient is φ = 25557120.

The previous prime is 80947283. The next prime is 80947297. The reversal of 80947296 is 69274908.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80947297) 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, 13951 + ... + 18881.

It is an arithmetic number, because the mean of its divisors is an integer number (2589300).

Almost surely, 280947296 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 80947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124286400).

80947296 is an abundant number, since it is smaller than the sum of its proper divisors (167625504).

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

80947296 is a wasteful number, since it uses less digits than its factorization.

80947296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 80947296 is about 8997.0715235570. The cubic root of 80947296 is about 432.5810083595.

It can be divided in two parts, 80 and 947296, that added together give a triangular number (947376 = T1376).

The spelling of 80947296 in words is "eighty million, nine hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 4931 5472 8208 9862 14793 16416 19724 29586 39448 44379 59172 78896 88758 93689 118344 133137 157792 177516 187378 236688 266274 281067 355032 374756 473376 532548 562134 710064 749512 843201 1065096 1124268 1420128 1499024 1686402 2130192 2248536 2529603 2998048 3372804 4260384 4497072 5059206 6745608 8994144 10118412 13491216 20236824 26982432 40473648 80947296