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76430445 = 35721319421
BaseRepresentation
bin1001000111000…
…11110001101101
312022211001212020
410203203301231
5124031233240
611330100353
71615435200
oct443436155
9168731766
1076430445
113a163363
122171a6b9
1312ab0720
14a217937
156a9b0d0
hex48e3c6d

76430445 has 96 divisors (see below), whose sum is σ = 161642880. Its totient is φ = 30481920.

The previous prime is 76430443. The next prime is 76430461. The reversal of 76430445 is 54403467.

It is a happy number.

It is not a de Polignac number, because 76430445 - 21 = 76430443 is a prime.

It is a super-2 number, since 2×764304452 = 11683225845796050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76430443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181335 + ... + 181755.

It is an arithmetic number, because the mean of its divisors is an integer number (1683780).

Almost surely, 276430445 is an apocalyptic number.

It is an amenable number.

76430445 is an abundant number, since it is smaller than the sum of its proper divisors (85212435).

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

76430445 is a wasteful number, since it uses less digits than its factorization.

76430445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 76430445 is about 8742.4507433557. The cubic root of 76430445 is about 424.3805416076.

The spelling of 76430445 in words is "seventy-six million, four hundred thirty thousand, four hundred forty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 49 57 65 91 95 105 133 147 195 245 247 273 285 399 421 455 637 665 735 741 931 1235 1263 1365 1729 1911 1995 2105 2793 2947 3185 3705 4655 5187 5473 6315 7999 8645 8841 9555 12103 13965 14735 16419 20629 23997 25935 27365 36309 38311 39995 44205 55993 60515 61887 82095 103145 103987 114933 119985 167979 181545 191555 268177 279965 309435 311961 391951 519935 574665 727909 804531 839895 1175853 1340885 1559805 1959755 2183727 3639545 4022655 5095363 5879265 10918635 15286089 25476815 76430445