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82976480 = 255895827
BaseRepresentation
bin1001111001000…
…01111011100000
312210010122022222
410330201323200
5132220221410
612122250212
72025200636
oct474417340
9183118288
1082976480
1142924504
1223956968
1314263112
14b03d356
157440955
hex4f21ee0

82976480 has 48 divisors (see below), whose sum is σ = 198268560. Its totient is φ = 32812032.

The previous prime is 82976447. The next prime is 82976483. The reversal of 82976480 is 8467928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82976483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11327 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (4130595).

Almost surely, 282976480 is an apocalyptic number.

82976480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99134280).

82976480 is an abundant number, since it is smaller than the sum of its proper divisors (115292080).

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

82976480 is a wasteful number, since it uses less digits than its factorization.

82976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 82976480 is about 9109.1426599873. The cubic root of 82976480 is about 436.1658600793.

The spelling of 82976480 in words is "eighty-two million, nine hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 5827 7120 11654 14240 23308 29135 46616 58270 93232 116540 186464 233080 466160 518603 932320 1037206 2074412 2593015 4148824 5186030 8297648 10372060 16595296 20744120 41488240 82976480