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80821468 = 227131737353
BaseRepresentation
bin1001101000100…
…11110011011100
312122002011012201
410310103303130
5131142241333
612004141244
72000654050
oct464236334
9178064181
1080821468
1141692402
1223097824
131398a270
14aa3bc60
15716717d
hex4d13cdc

80821468 has 96 divisors (see below), whose sum is σ = 189834624. Its totient is φ = 29196288.

The previous prime is 80821457. The next prime is 80821469. The reversal of 80821468 is 86412808.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80821469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228780 + ... + 229132.

It is an arithmetic number, because the mean of its divisors is an integer number (1977444).

Almost surely, 280821468 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 80821468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94917312).

80821468 is an abundant number, since it is smaller than the sum of its proper divisors (109013156).

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

80821468 is a wasteful number, since it uses less digits than its factorization.

80821468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 80821468 is about 8990.0760842164. The cubic root of 80821468 is about 432.3567512053.

The spelling of 80821468 in words is "eighty million, eight hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 37 52 68 74 91 119 148 182 221 238 259 353 364 442 476 481 518 629 706 884 962 1036 1258 1412 1547 1924 2471 2516 3094 3367 4403 4589 4942 6001 6188 6734 8177 8806 9178 9884 12002 13061 13468 16354 17612 18356 24004 26122 32123 32708 42007 52244 57239 64246 78013 84014 91427 114478 128492 156026 168028 169793 182854 222037 228956 312052 339586 365708 444074 546091 679172 888148 1092182 1188551 1554259 2184364 2377102 2886481 3108518 4754204 5772962 6217036 11545924 20205367 40410734 80821468