Search a number
-
+
79030272 = 211319677
BaseRepresentation
bin1001011010111…
…10100000000000
312111201011011010
410231132200000
5130212432042
611501520520
71646513646
oct455364000
9174634133
1079030272
1140679682
1222573140
13134b0b99
14a6d3196
156e1159c
hex4b5e800

79030272 has 96 divisors (see below), whose sum is σ = 222112800. Its totient is φ = 24920064.

The previous prime is 79030271. The next prime is 79030321. The reversal of 79030272 is 27203097.

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 (79030271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116398 + ... + 117074.

It is an arithmetic number, because the mean of its divisors is an integer number (2313675).

Almost surely, 279030272 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 79030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111056400).

79030272 is an abundant number, since it is smaller than the sum of its proper divisors (143082528).

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

79030272 is a wasteful number, since it uses less digits than its factorization.

79030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 79030272 is about 8889.8971872570. The cubic root of 79030272 is about 429.1388425903.

The spelling of 79030272 in words is "seventy-nine million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 677 768 912 1024 1216 1354 1536 1824 2031 2048 2432 2708 3072 3648 4062 4864 5416 6144 7296 8124 9728 10832 12863 14592 16248 19456 21664 25726 29184 32496 38589 38912 43328 51452 58368 64992 77178 86656 102904 116736 129984 154356 173312 205808 259968 308712 346624 411616 519936 617424 693248 823232 1039872 1234848 1386496 1646464 2079744 2469696 3292928 4159488 4939392 6585856 9878784 13171712 19757568 26343424 39515136 79030272