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76416743 = 1341311461
BaseRepresentation
bin1001000111000…
…00011011100111
312022210101001202
410203200123213
5124030313433
611325513115
71615350224
oct443403347
9168711052
1076416743
113a154037
122171279b
1312aa7410
14a21294b
156a96ee8
hex48e06e7

76416743 has 16 divisors (see below), whose sum is σ = 84756672. Its totient is φ = 68448000.

The previous prime is 76416737. The next prime is 76416757. The reversal of 76416743 is 34761467.

It is a cyclic number.

It is not a de Polignac number, because 76416743 - 210 = 76415719 is a prime.

It is a super-2 number, since 2×764167432 = 11679037221456098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76416697 and 76416706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76416793) 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 15 ways as a sum of consecutive naturals, for example, 165533 + ... + 165993.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 276416743 is an apocalyptic number.

76416743 is a deficient number, since it is larger than the sum of its proper divisors (8339929).

76416743 is a wasteful number, since it uses less digits than its factorization.

76416743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its digits is 84672, while the sum is 38.

The square root of 76416743 is about 8741.6670606927. The cubic root of 76416743 is about 424.3551799440.

The spelling of 76416743 in words is "seventy-six million, four hundred sixteen thousand, seven hundred forty-three".

Divisors: 1 13 41 311 461 533 4043 5993 12751 18901 143371 165763 245713 1863823 5878211 76416743