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79064064 = 2103223373
BaseRepresentation
bin1001011011001…
…10110000000000
312111202212111200
410231212300000
5130220022224
611502341200
71650014322
oct455466000
9174685450
1079064064
11406a2002
122258a800
13134c3391
14a701612
156e1b5c9
hex4b66c00

79064064 has 132 divisors (see below), whose sum is σ = 238860336. Its totient is φ = 25141248.

The previous prime is 79064039. The next prime is 79064077. The reversal of 79064064 is 46046097.

79064064 is a `hidden beast` number, since 7 + 9 + 0 + 640 + 6 + 4 = 666.

It is a super-2 number, since 2×790640642 = 12502252432392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211782 + ... + 212154.

It is an arithmetic number, because the mean of its divisors is an integer number (1809548).

Almost surely, 279064064 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 79064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119430168).

79064064 is an abundant number, since it is smaller than the sum of its proper divisors (159796272).

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

79064064 is a wasteful number, since it uses less digits than its factorization.

79064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 79064064 is about 8891.7975685460. The cubic root of 79064064 is about 429.1999980313.

The spelling of 79064064 in words is "seventy-nine million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 373 384 414 512 552 576 736 746 768 828 1024 1104 1119 1152 1472 1492 1536 1656 2208 2238 2304 2944 2984 3072 3312 3357 4416 4476 4608 5888 5968 6624 6714 8579 8832 8952 9216 11776 11936 13248 13428 17158 17664 17904 23552 23872 25737 26496 26856 34316 35328 35808 47744 51474 52992 53712 68632 70656 71616 77211 95488 102948 105984 107424 137264 143232 154422 190976 205896 211968 214848 274528 286464 308844 381952 411792 429696 549056 572928 617688 823584 859392 1098112 1145856 1235376 1647168 1718784 2196224 2470752 3294336 3437568 4392448 4941504 6588672 8784896 9883008 13177344 19766016 26354688 39532032 79064064