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76629234 = 231117163419
BaseRepresentation
bin1001001000101…
…00010011110010
312100012011112210
410210110103302
5124104113414
611334232550
71620223563
oct444242362
9170164483
1076629234
113a289750
12217b5756
1312b50056
14a26a16a
156ad9e59
hex49144f2

76629234 has 64 divisors (see below), whose sum is σ = 178536960. Its totient is φ = 21669120.

The previous prime is 76629229. The next prime is 76629253. The reversal of 76629234 is 43292667.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 76629192 and 76629201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182677 + ... + 183095.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 276629234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76629234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268480).

76629234 is an abundant number, since it is smaller than the sum of its proper divisors (101907726).

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

76629234 is a wasteful number, since it uses less digits than its factorization.

76629234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its digits is 108864, while the sum is 39.

The square root of 76629234 is about 8753.8125408304. The cubic root of 76629234 is about 424.7481488240.

The spelling of 76629234 in words is "seventy-six million, six hundred twenty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 163 187 326 374 419 489 561 838 978 1122 1257 1793 2514 2771 3586 4609 5379 5542 7123 8313 9218 10758 13827 14246 16626 21369 27654 30481 42738 60962 68297 78353 91443 136594 156706 182886 204891 235059 409782 470118 751267 1161049 1502534 2253801 2322098 3483147 4507602 6966294 12771539 25543078 38314617 76629234