Search a number
-
+
79002112 = 29724767
BaseRepresentation
bin1001011010101…
…11101000000000
312111122201112011
410231113220000
5130211031422
611501142304
71646335600
oct455275000
9174581464
1079002112
114065a502
122255a994
13134a1117
14a6c6c00
156e08077
hex4b57a00

79002112 has 120 divisors (see below), whose sum is σ = 190327104. Its totient is φ = 32643072.

The previous prime is 79002103. The next prime is 79002113. The reversal of 79002112 is 21120097.

It is not an unprimeable number, because it can be changed into a prime (79002113) 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, 1179103 + ... + 1179169.

Almost surely, 279002112 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 79002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95163552).

79002112 is an abundant number, since it is smaller than the sum of its proper divisors (111324992).

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

79002112 is an equidigital number, since it uses as much as digits as its factorization.

79002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 79002112 is about 8888.3132258039. The cubic root of 79002112 is about 429.0878664048.

The spelling of 79002112 in words is "seventy-nine million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 67 94 98 112 128 134 188 196 224 256 268 329 376 392 448 469 512 536 658 752 784 896 938 1072 1316 1504 1568 1792 1876 2144 2303 2632 3008 3136 3149 3283 3584 3752 4288 4606 5264 6016 6272 6298 6566 7504 8576 9212 10528 12032 12544 12596 13132 15008 17152 18424 21056 22043 24064 25088 25192 26264 30016 34304 36848 42112 44086 50384 52528 60032 73696 84224 88172 100768 105056 120064 147392 154301 168448 176344 201536 210112 240128 294784 308602 352688 403072 420224 589568 617204 705376 806144 840448 1179136 1234408 1410752 1612288 1680896 2468816 2821504 4937632 5643008 9875264 11286016 19750528 39501056 79002112