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76069296 = 24321074937
BaseRepresentation
bin1001000100010…
…11100110110000
312022010201110100
410202023212300
5123433204141
611314232400
71612402242
oct442134660
9168121410
1076069296
1139a36a96
1221585700
13129b5224
14a162092
156a290b6
hex488b9b0

76069296 has 60 divisors (see below), whose sum is σ = 214921512. Its totient is φ = 25114368.

The previous prime is 76069277. The next prime is 76069297. The reversal of 76069296 is 69296067.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76069297) 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, 12940 + ... + 17876.

Almost surely, 276069296 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 76069296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107460756).

76069296 is an abundant number, since it is smaller than the sum of its proper divisors (138852216).

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

76069296 is a wasteful number, since it uses less digits than its factorization.

76069296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 76069296 is about 8721.7713797141. The cubic root of 76069296 is about 423.7110586295.

The spelling of 76069296 in words is "seventy-six million, sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 4937 5136 7704 9874 14811 15408 19748 29622 39496 44433 59244 78992 88866 118488 177732 236976 355464 528259 710928 1056518 1584777 2113036 3169554 4226072 4754331 6339108 8452144 9508662 12678216 19017324 25356432 38034648 76069296