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426108592 = 247131973211
BaseRepresentation
bin11001011001011…
…110011010110000
31002200210120002201
4121121132122300
51333040433332
6110140552544
713362602050
oct3131363260
91080716081
10426108592
111a9588768
12ba852754
136a383280
144083d560
152761e5e7
hex1965e6b0

426108592 has 160 divisors (see below), whose sum is σ = 1089374720. Its totient is φ = 156764160.

The previous prime is 426108589. The next prime is 426108601. The reversal of 426108592 is 295801624.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2019367 + ... + 2019577.

It is an arithmetic number, because the mean of its divisors is an integer number (6808592).

Almost surely, 2426108592 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 426108592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544687360).

426108592 is an abundant number, since it is smaller than the sum of its proper divisors (663266128).

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

426108592 is a wasteful number, since it uses less digits than its factorization.

426108592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 426108592 is about 20642.3979227221. The cubic root of 426108592 is about 752.5004496636.

The spelling of 426108592 in words is "four hundred twenty-six million, one hundred eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 73 76 91 104 112 133 146 152 182 208 211 247 266 292 304 364 422 494 511 532 584 728 844 949 988 1022 1064 1168 1387 1456 1477 1688 1729 1898 1976 2044 2128 2743 2774 2954 3376 3458 3796 3952 4009 4088 5486 5548 5908 6643 6916 7592 8018 8176 9709 10972 11096 11816 13286 13832 15184 15403 16036 18031 19201 19418 21944 22192 23632 26572 27664 28063 30806 32072 36062 38402 38836 43888 52117 53144 56126 61612 64144 72124 76804 77672 104234 106288 107821 112252 123224 126217 144248 153608 155344 200239 208468 215642 224504 246448 252434 288496 292657 307216 364819 400478 416936 431284 449008 504868 585314 729638 800956 833872 862568 1009736 1170628 1401673 1459276 1601912 1725136 2019472 2048599 2341256 2803346 2918552 3203824 3804541 4097198 4682512 5606692 5837104 7609082 8194396 11213384 15218164 16388792 22426768 26631787 30436328 32777584 53263574 60872656 106527148 213054296 426108592