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77916438 = 2331133
BaseRepresentation
bin1001010010011…
…10100100010110
312102121120021000
410221032210112
5124421311223
611422004130
71634164425
oct451164426
9172546230
1077916438
113aa88856
1222116646
13131b0c02
14a4c32bc
156c91543
hex4a4e916

77916438 has 32 divisors (see below), whose sum is σ = 174693600. Its totient is φ = 25742304.

The previous prime is 77916427. The next prime is 77916439. The reversal of 77916438 is 83461977.

It is a junction number, because it is equal to n+sod(n) for n = 77916393 and 77916402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77916439) 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, 689470 + ... + 689582.

It is an arithmetic number, because the mean of its divisors is an integer number (5459175).

Almost surely, 277916438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77916438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87346800).

77916438 is an abundant number, since it is smaller than the sum of its proper divisors (96777162).

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

77916438 is an frugal number, since it uses more digits than its factorization.

77916438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 118 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 77916438 is about 8827.0288319457. The cubic root of 77916438 is about 427.1132359144.

The spelling of 77916438 in words is "seventy-seven million, nine hundred sixteen thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 12769 25538 38307 76614 114921 229842 344763 689526 1442897 2885794 4328691 8657382 12986073 25972146 38958219 77916438