Search a number
-
+
79056640 = 285134751
BaseRepresentation
bin1001011011001…
…00111100000000
312111202111022201
410231210330000
5130214303030
611502242544
71646653555
oct455447400
9174674281
1079056640
1140697473
1222586454
13134bcba0
14a6dca2c
156e192ca
hex4b64f00

79056640 has 72 divisors (see below), whose sum is σ = 203974848. Its totient is φ = 29184000.

The previous prime is 79056623. The next prime is 79056641. The reversal of 79056640 is 4665097.

It is a self number, because there is not a number n which added to its sum of digits gives 79056640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79056641) 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 7 ways as a sum of consecutive naturals, for example, 14265 + ... + 19015.

It is an arithmetic number, because the mean of its divisors is an integer number (2832984).

Almost surely, 279056640 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 79056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101987424).

79056640 is an abundant number, since it is smaller than the sum of its proper divisors (124918208).

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

79056640 is a wasteful number, since it uses less digits than its factorization.

79056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 79056640 is about 8891.3800953508. The cubic root of 79056640 is about 429.1865638600.

The spelling of 79056640 in words is "seventy-nine million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 4751 8320 9502 16640 19004 23755 38008 47510 61763 76016 95020 123526 152032 190040 247052 304064 308815 380080 494104 608128 617630 760160 988208 1216256 1235260 1520320 1976416 2470520 3040640 3952832 4941040 6081280 7905664 9882080 15811328 19764160 39528320 79056640