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76966064 = 2472127773
BaseRepresentation
bin1001001011001…
…10100010110000
312100211021120222
410211212202300
5124200403224
611345352212
71623125600
oct445464260
9170737528
1076966064
113a49981a
1221938668
1312c3a466
14a316c00
156b54b5e
hex49668b0

76966064 has 60 divisors (see below), whose sum is σ = 175060224. Its totient is φ = 32683392.

The previous prime is 76966051. The next prime is 76966069. The reversal of 76966064 is 46066967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76966069) 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 11 ways as a sum of consecutive naturals, for example, 99182 + ... + 99954.

Almost surely, 276966064 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 76966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87530112).

76966064 is an abundant number, since it is smaller than the sum of its proper divisors (98094160).

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

76966064 is a wasteful number, since it uses less digits than its factorization.

76966064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 76966064 is about 8773.0304912271. The cubic root of 76966064 is about 425.3695774864.

The spelling of 76966064 in words is "seventy-six million, nine hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 773 784 889 1016 1546 1778 2032 3092 3556 5411 6184 6223 7112 10822 12368 12446 14224 21644 24892 37877 43288 49784 75754 86576 98171 99568 151508 196342 303016 392684 606032 687197 785368 1374394 1570736 2748788 4810379 5497576 9620758 10995152 19241516 38483032 76966064