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78300048 = 24331101521
BaseRepresentation
bin1001010101011…
…00001110010000
312110100001110210
410222230032100
5130021100143
611434124120
71640353011
oct452541620
9173301423
1078300048
114021aa92
1222280640
13132b66b8
14a583008
156d1a033
hex4aac390

78300048 has 80 divisors (see below), whose sum is σ = 211272192. Its totient is φ = 24960000.

The previous prime is 78300023. The next prime is 78300059. The reversal of 78300048 is 84000387.

It is a super-2 number, since 2×783000482 = 12261795033604608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78299988 and 78300024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150028 + ... + 150548.

Almost surely, 278300048 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 78300048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105636096).

78300048 is an abundant number, since it is smaller than the sum of its proper divisors (132972144).

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

78300048 is a wasteful number, since it uses less digits than its factorization.

78300048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78300048 is about 8848.7314345052. The cubic root of 78300048 is about 427.8130315630.

The spelling of 78300048 in words is "seventy-eight million, three hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 101 124 186 202 248 303 372 404 496 521 606 744 808 1042 1212 1488 1563 1616 2084 2424 3126 3131 4168 4848 6252 6262 8336 9393 12504 12524 16151 18786 25008 25048 32302 37572 48453 50096 52621 64604 75144 96906 105242 129208 150288 157863 193812 210484 258416 315726 387624 420968 631452 775248 841936 1262904 1631251 2525808 3262502 4893753 6525004 9787506 13050008 19575012 26100016 39150024 78300048