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979097028 = 2237213235569
BaseRepresentation
bin111010010110111…
…101010111000100
32112020100021121220
4322112331113010
54001122101103
6241053240340
733156121200
oct7226752704
92466307556
10979097028
114627470a8
12233a930b0
13127acba70
1494069b00
155ae52c53
hex3a5bd5c4

979097028 has 144 divisors (see below), whose sum is σ = 2986945920. Its totient is φ = 246951936.

The previous prime is 979097017. The next prime is 979097069. The reversal of 979097028 is 820790979.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173028 + ... + 178596.

It is an arithmetic number, because the mean of its divisors is an integer number (20742680).

Almost surely, 2979097028 is an apocalyptic number.

979097028 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979097028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493472960).

979097028 is an abundant number, since it is smaller than the sum of its proper divisors (2007848892).

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

979097028 is a wasteful number, since it uses less digits than its factorization.

979097028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The square root of 979097028 is about 31290.5261700726. The cubic root of 979097028 is about 992.9832226598.

The spelling of 979097028 in words is "nine hundred seventy-nine million, ninety-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 5569 6279 6762 7644 8372 11138 12558 13524 14651 16707 22276 25116 29302 33414 38983 43953 58604 66828 72397 77966 87906 116949 128087 144794 155932 175812 217191 233898 256174 272881 289588 384261 434382 467796 506779 512348 545762 768522 818643 868764 896609 1013558 1091524 1520337 1537044 1637286 1665131 1793218 2027116 2689827 3040674 3274572 3330262 3547453 3586436 4995393 5379654 6081348 6276263 6660524 7094906 9990786 10642359 10759308 11655917 12552526 14189812 18828789 19981572 21284718 23311834 25105052 34967751 37657578 42569436 46623668 69935502 75315156 81591419 139871004 163182838 244774257 326365676 489548514 979097028