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78522080 = 2557135393
BaseRepresentation
bin1001010111000…
…10011011100000
312110202100001012
410223202123200
5130100201310
611443000052
71642266230
oct453423340
9173670035
1078522080
114036188a
1222369028
1313363790
14a5ddcc0
156d60c05
hex4ae26e0

78522080 has 96 divisors (see below), whose sum is σ = 228360384. Its totient is φ = 24846336.

The previous prime is 78522077. The next prime is 78522083. The reversal of 78522080 is 8022587.

It is an interprime number because it is at equal distance from previous prime (78522077) and next prime (78522083).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78522083) 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, 11864 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (2378754).

Almost surely, 278522080 is an apocalyptic number.

78522080 is a gapful number since it is divisible by the number (70) 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 78522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114180192).

78522080 is an abundant number, since it is smaller than the sum of its proper divisors (149838304).

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

78522080 is a wasteful number, since it uses less digits than its factorization.

78522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 78522080 is about 8861.2685322137. The cubic root of 78522080 is about 428.2170268010.

The spelling of 78522080 in words is "seventy-eight million, five hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 5393 7280 10786 14560 21572 26965 37751 43144 53930 70109 75502 86288 107860 140218 151004 172576 188755 215720 280436 302008 350545 377510 431440 490763 560872 604016 701090 755020 862880 981526 1121744 1208032 1402180 1510040 1963052 2243488 2453815 2804360 3020080 3926104 4907630 5608720 6040160 7852208 9815260 11217440 15704416 19630520 39261040 78522080