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76834450 = 25272112851
BaseRepresentation
bin1001001010001…
…10011010010010
312100120121001101
410211012122102
5124132200300
611342455014
71622040100
oct445063222
9170517041
1076834450
113a409950
122189446a
1312bc2594
14a2c0c70
156b2ab6a
hex4946692

76834450 has 72 divisors (see below), whose sum is σ = 181421424. Its totient is φ = 23940000.

The previous prime is 76834447. The next prime is 76834481. The reversal of 76834450 is 5443867.

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 35 ways as a sum of consecutive naturals, for example, 25525 + ... + 28375.

It is an arithmetic number, because the mean of its divisors is an integer number (2519742).

Almost surely, 276834450 is an apocalyptic number.

76834450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76834450 is an abundant number, since it is smaller than the sum of its proper divisors (104586974).

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

76834450 is a wasteful number, since it uses less digits than its factorization.

76834450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 76834450 is about 8765.5262249337. The cubic root of 76834450 is about 425.1269747482.

It can be divided in two parts, 76834 and 450, that added together give a square (77284 = 2782).

The spelling of 76834450 in words is "seventy-six million, eight hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 49 50 55 70 77 98 110 154 175 245 275 350 385 490 539 550 770 1078 1225 1925 2450 2695 2851 3850 5390 5702 13475 14255 19957 26950 28510 31361 39914 62722 71275 99785 139699 142550 156805 199570 219527 279398 313610 439054 498925 698495 784025 997850 1097635 1396990 1536689 1568050 2195270 3073378 3492475 5488175 6984950 7683445 10976350 15366890 38417225 76834450