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83978480 = 2451955249
BaseRepresentation
bin1010000000101…
…10100011110000
312212000112211002
411000112203300
5132444302410
612155541132
72036543135
oct500264360
9185015732
1083978480
1143449303
122415a7a8
1314524211
14b22058c
15758c7a5
hex50168f0

83978480 has 40 divisors (see below), whose sum is σ = 205530000. Its totient is φ = 31822848.

The previous prime is 83978471. The next prime is 83978491. The reversal of 83978480 is 8487938.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×839784802 = 14104770206220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26105 + ... + 29144.

It is an arithmetic number, because the mean of its divisors is an integer number (5138250).

Almost surely, 283978480 is an apocalyptic number.

83978480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83978480 is an abundant number, since it is smaller than the sum of its proper divisors (121551520).

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

83978480 is a wasteful number, since it uses less digits than its factorization.

83978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55281 (or 55275 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 83978480 is about 9163.9773024599. The cubic root of 83978480 is about 437.9145110914.

The spelling of 83978480 in words is "eighty-three million, nine hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 55249 110498 220996 276245 441992 552490 883984 1049731 1104980 2099462 2209960 4198924 4419920 5248655 8397848 10497310 16795696 20994620 41989240 83978480