Search a number
-
+
1035426282 = 2311223591051
BaseRepresentation
bin111101101101110…
…101100111101010
32200011100002211120
4331231311213222
54110032120112
6250424440110
734441656342
oct7555654752
92604302746
101035426282
11491520100
1224a919036
13136691c97
149b72dd22
1560d7ce8c
hex3db759ea

1035426282 has 96 divisors (see below), whose sum is σ = 2417748480. Its totient is φ = 294756000.

The previous prime is 1035426251. The next prime is 1035426311. The reversal of 1035426282 is 2826245301.

It is a super-3 number, since 3×10354262823 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984657 + ... + 985707.

It is an arithmetic number, because the mean of its divisors is an integer number (25184880).

Almost surely, 21035426282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035426282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208874240).

1035426282 is an abundant number, since it is smaller than the sum of its proper divisors (1382322198).

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

1035426282 is a wasteful number, since it uses less digits than its factorization.

1035426282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1035426282 is about 32178.0403691710. The cubic root of 1035426282 is about 1011.6719951493.

The spelling of 1035426282 in words is "one billion, thirty-five million, four hundred twenty-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 121 138 177 242 253 354 363 506 649 726 759 1051 1298 1357 1518 1947 2102 2714 2783 3153 3894 4071 5566 6306 7139 8142 8349 11561 14278 14927 16698 21417 23122 24173 29854 34683 42834 44781 48346 62009 69366 72519 89562 124018 127171 145038 164197 186027 254342 265903 328394 372054 381513 492591 531806 682099 763026 797709 985182 1364198 1426207 1595418 2046297 2852414 2924933 4092594 4278621 5849866 7503089 8557242 8774799 15006178 15688277 17549598 22509267 31376554 45018534 47064831 94129662 172571047 345142094 517713141 1035426282