Search a number
-
+
79125312 = 2637113521
BaseRepresentation
bin1001011011101…
…01101101000000
312111212222112010
410231311231000
5130224002222
611503532520
71650361020
oct455655500
9174788463
1079125312
1140734022
12225ba140
1313515216
14a719a80
156e2e80c
hex4b75b40

79125312 has 112 divisors (see below), whose sum is σ = 241840512. Its totient is φ = 22364160.

The previous prime is 79125307. The next prime is 79125317. The reversal of 79125312 is 21352197.

It is an interprime number because it is at equal distance from previous prime (79125307) and next prime (79125317).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 79125312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79125317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151612 + ... + 152132.

Almost surely, 279125312 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 79125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120920256).

79125312 is an abundant number, since it is smaller than the sum of its proper divisors (162715200).

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

79125312 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (79125311) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (646).

79125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 79125312 is about 8895.2409748134. The cubic root of 79125312 is about 429.3107978690.

The spelling of 79125312 in words is "seventy-nine million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 168 192 224 226 336 339 448 452 521 672 678 791 904 1042 1344 1356 1563 1582 1808 2084 2373 2712 3126 3164 3616 3647 4168 4746 5424 6252 6328 7232 7294 8336 9492 10848 10941 12504 12656 14588 16672 18984 21696 21882 25008 25312 29176 33344 37968 43764 50016 50624 58352 58873 75936 87528 100032 116704 117746 151872 175056 176619 233408 235492 350112 353238 412111 470984 700224 706476 824222 941968 1236333 1412952 1648444 1883936 2472666 2825904 3296888 3767872 4945332 5651808 6593776 9890664 11303616 13187552 19781328 26375104 39562656 79125312