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842597028 = 22327131913537
BaseRepresentation
bin110010001110010…
…000001010100100
32011201111100211100
4302032100022210
53211201101103
6215335440100
726610646050
oct6216201244
92151440740
10842597028
113a2695689
121b6226030
13105748830
147dc96c60
154de8d5a3
hex323902a4

842597028 has 144 divisors (see below), whose sum is σ = 2759585920. Its totient is φ = 210511872.

The previous prime is 842597023. The next prime is 842597029. The reversal of 842597028 is 820795248.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (842597023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55476 + ... + 69012.

Almost surely, 2842597028 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 842597028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379792960).

842597028 is an abundant number, since it is smaller than the sum of its proper divisors (1916988892).

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

842597028 is a wasteful number, since it uses less digits than its factorization.

842597028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13581 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 842597028 is about 29027.5219059430. The cubic root of 842597028 is about 944.5101753109.

The spelling of 842597028 in words is "eight hundred forty-two million, five hundred ninety-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 13537 15561 20748 27074 31122 40611 54148 62244 81222 94759 121833 162444 175981 189518 243666 257203 284277 351962 379036 487332 514406 527943 568554 703924 771609 852831 1028812 1055886 1137108 1231867 1543218 1583829 1705662 1800421 2111772 2314827 2463734 3086436 3167658 3343639 3411324 3600842 3695601 4629654 4927468 5401263 6335316 6687278 7201684 7391202 9259308 10030917 10802526 11086803 13374556 14782404 16203789 20061834 21605052 22173606 23405473 30092751 32407578 40123668 44347212 46810946 60185502 64815156 70216419 93621892 120371004 140432838 210649257 280865676 421298514 842597028