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77364872 = 2313977669
BaseRepresentation
bin1001001110001…
…11111010001000
312101120112122122
410213013322020
5124301133442
611402110412
71626406364
oct447077210
9171515578
1077364872
113a741412
1221aab408
1313049b40
14a3bc2a4
156bd2dd2
hex49c7e88

77364872 has 32 divisors (see below), whose sum is σ = 157848600. Its totient is φ = 35334144.

The previous prime is 77364863. The next prime is 77364877. The reversal of 77364872 is 27846377.

It can be written as a sum of positive squares in 4 ways, for example, as 68989636 + 8375236 = 8306^2 + 2894^2 .

It is not an unprimeable number, because it can be changed into a prime (77364877) 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, 6254 + ... + 13922.

Almost surely, 277364872 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 77364872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78924300).

77364872 is an abundant number, since it is smaller than the sum of its proper divisors (80483728).

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

77364872 is a wasteful number, since it uses less digits than its factorization.

77364872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7781 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The square root of 77364872 is about 8795.7303278352. The cubic root of 77364872 is about 426.1030116701.

The spelling of 77364872 in words is "seventy-seven million, three hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 5044 7669 10088 15338 30676 61352 99697 199394 398788 743893 797576 1487786 2975572 5951144 9670609 19341218 38682436 77364872