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76826860 = 225111372549
BaseRepresentation
bin1001001010001…
…00100011101100
312100120012122021
410211010203230
5124131424420
611342355524
71622006005
oct445044354
9170505567
1076826860
113a404180
122188bba4
1312bbbca6
14a2bc1ac
156b287aa
hex49448ec

76826860 has 48 divisors (see below), whose sum is σ = 177357600. Its totient is φ = 27722240.

The previous prime is 76826843. The next prime is 76826863. The reversal of 76826860 is 6862867.

It is not an unprimeable number, because it can be changed into a prime (76826863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28866 + ... + 31414.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 276826860 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 76826860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88678800).

76826860 is an abundant number, since it is smaller than the sum of its proper divisors (100530740).

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

76826860 is a wasteful number, since it uses less digits than its factorization.

76826860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 76826860 is about 8765.0932681860. The cubic root of 76826860 is about 425.1129757325.

The spelling of 76826860 in words is "seventy-six million, eight hundred twenty-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2549 2740 3014 5098 6028 7535 10196 12745 15070 25490 28039 30140 50980 56078 112156 140195 280390 349213 560780 698426 1396852 1746065 3492130 3841343 6984260 7682686 15365372 19206715 38413430 76826860