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76223745 = 32513294493
BaseRepresentation
bin1001000101100…
…01010100000001
312022102120022200
410202301110001
5124003124440
611321423413
71613614443
oct442612401
9168376280
1076223745
113a032034
122163ab69
1312a3a610
14a1a2493
156a59c30
hex48b1501

76223745 has 48 divisors (see below), whose sum is σ = 147223440. Its totient is φ = 36223488.

The previous prime is 76223731. The next prime is 76223759. The reversal of 76223745 is 54732267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76223731) and next prime (76223759).

It can be written as a sum of positive squares in 8 ways, for example, as 898704 + 75325041 = 948^2 + 8679^2 .

It is not a de Polignac number, because 76223745 - 24 = 76223729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14719 + ... + 19211.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 276223745 is an apocalyptic number.

It is an amenable number.

76223745 is a deficient number, since it is larger than the sum of its proper divisors (70999695).

76223745 is a wasteful number, since it uses less digits than its factorization.

76223745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4543 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 76223745 is about 8730.6211119255. The cubic root of 76223745 is about 423.9976285171.

The spelling of 76223745 in words is "seventy-six million, two hundred twenty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 4493 5655 13479 16965 22465 40437 58409 67395 130297 175227 202185 292045 390891 525681 651485 876135 1172673 1693861 1954455 2628405 5081583 5863365 8469305 15244749 25407915 76223745