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76045312 = 21071032
BaseRepresentation
bin1001000100001…
…01110000000000
312022002111120001
410202011300000
5123431422222
611313525344
71612242310
oct442056000
9168074501
1076045312
1139a1aa72
1221573854
13129a7335
14a157440
156a21e27
hex4885c00

76045312 has 66 divisors (see below), whose sum is σ = 175436088. Its totient is φ = 32274432.

The previous prime is 76045297. The next prime is 76045327. The reversal of 76045312 is 21354067.

It is an interprime number because it is at equal distance from previous prime (76045297) and next prime (76045327).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738253 + ... + 738355.

Almost surely, 276045312 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 76045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87718044).

76045312 is an abundant number, since it is smaller than the sum of its proper divisors (99390776).

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

76045312 is an equidigital number, since it uses as much as digits as its factorization.

76045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 76045312 is about 8720.3963212689. The cubic root of 76045312 is about 423.6665231214. Note that the first 3 decimals are identical.

Multiplying 76045312 by its sum of digits (28), we get a square (2129268736 = 461442).

76045312 divided by its sum of digits (28) gives a square (2715904 = 16482).

Adding to 76045312 its reverse (21354067), we get a palindrome (97399379).

The spelling of 76045312 in words is "seventy-six million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 512 721 824 896 1024 1442 1648 1792 2884 3296 3584 5768 6592 7168 10609 11536 13184 21218 23072 26368 42436 46144 52736 74263 84872 92288 105472 148526 169744 184576 297052 339488 369152 594104 678976 738304 1188208 1357952 2376416 2715904 4752832 5431808 9505664 10863616 19011328 38022656 76045312