Search a number
-
+
79747872 = 25331127211
BaseRepresentation
bin1001100000011…
…01101100100000
312120001121111220
410300031230200
5130403412442
611525135040
71655563041
oct460155440
9176047456
1079747872
1141019836
122285a480
13136a26b9
14a83c8c8
157003eec
hex4c0db20

79747872 has 96 divisors (see below), whose sum is σ = 218824704. Its totient is φ = 25401600.

The previous prime is 79747859. The next prime is 79747879. The reversal of 79747872 is 27874797.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (79747879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377847 + ... + 378057.

It is an arithmetic number, because the mean of its divisors is an integer number (2279424).

Almost surely, 279747872 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 79747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109412352).

79747872 is an abundant number, since it is smaller than the sum of its proper divisors (139076832).

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

79747872 is a wasteful number, since it uses less digits than its factorization.

79747872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 51.

The square root of 79747872 is about 8930.1664038247. The cubic root of 79747872 is about 430.4338005452.

The spelling of 79747872 in words is "seventy-nine million, seven hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 127 186 211 248 254 372 381 422 496 508 633 744 762 844 992 1016 1266 1488 1524 1688 2032 2532 2976 3048 3376 3937 4064 5064 6096 6541 6752 7874 10128 11811 12192 13082 15748 19623 20256 23622 26164 26797 31496 39246 47244 52328 53594 62992 78492 80391 94488 104656 107188 125984 156984 160782 188976 209312 214376 313968 321564 377952 428752 627936 643128 830707 857504 1286256 1661414 2492121 2572512 3322828 4984242 6645656 9968484 13291312 19936968 26582624 39873936 79747872