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78543648 = 253390907
BaseRepresentation
bin1001010111001…
…11101100100000
312110210102122000
410223213230200
5130101344043
611443244000
71642416141
oct453475440
9173712560
1078543648
1140377007
1222379600
1313370541
14a607ac8
156d672d3
hex4ae7b20

78543648 has 48 divisors (see below), whose sum is σ = 229088160. Its totient is φ = 26180928.

The previous prime is 78543623. The next prime is 78543649. The reversal of 78543648 is 84634587.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×785436482 = 12338209282295808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78543649) 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, 44590 + ... + 46317.

It is an arithmetic number, because the mean of its divisors is an integer number (4772670).

Almost surely, 278543648 is an apocalyptic number.

It is an amenable number.

78543648 is an abundant number, since it is smaller than the sum of its proper divisors (150544512).

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

78543648 is a wasteful number, since it uses less digits than its factorization.

78543648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90926 (or 90912 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 78543648 is about 8862.4854301714. The cubic root of 78543648 is about 428.2562299541.

The spelling of 78543648 in words is "seventy-eight million, five hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 90907 181814 272721 363628 545442 727256 818163 1090884 1454512 1636326 2181768 2454489 2909024 3272652 4363536 4908978 6545304 8727072 9817956 13090608 19635912 26181216 39271824 78543648