Search a number
-
+
35289050940 = 2232511131370981
BaseRepresentation
bin100000110111011001…
…000010111100111100
310101002100120112021200
4200313121002330330
51034232444112230
624113410455500
72356331661303
oct406731027474
9111070515250
1035289050940
1113a69827310
126a0a294590
133435089c40
1419caa6d43a
15db812a160
hex837642f3c

35289050940 has 144 divisors (see below), whose sum is σ = 125757436896. Its totient is φ = 7896844800.

The previous prime is 35289050879. The next prime is 35289050941. The reversal of 35289050940 is 4905098253.

35289050940 is a `hidden beast` number, since 3 + 52 + 8 + 90 + 509 + 4 + 0 = 666.

35289050940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35289050941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659751 + ... + 711230.

It is an arithmetic number, because the mean of its divisors is an integer number (873315534).

Almost surely, 235289050940 is an apocalyptic number.

35289050940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35289050940 is an abundant number, since it is smaller than the sum of its proper divisors (90468385956).

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

35289050940 is a wasteful number, since it uses less digits than its factorization.

35289050940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371020 (or 1371015 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 35289050940 in words is "thirty-five billion, two hundred eighty-nine million, fifty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 1370981 2741962 4112943 5483924 6854905 8225886 12338829 13709810 15080791 16451772 17822753 20564715 24677658 27419620 30161582 35645506 41129430 45242373 49355316 53468259 60323164 61694145 71291012 75403955 82258860 89113765 90484746 106936518 123388290 135727119 150807910 160404777 178227530 180969492 196050283 213873036 226211865 246776580 267341295 271454238 301615820 320809554 356455060 392100566 452423730 534682590 542908476 588150849 641619108 678635595 784201132 802023885 904847460 980251415 1069365180 1176301698 1357271190 1604047770 1764452547 1960502830 2352603396 2714542380 2940754245 3208095540 3528905094 3921005660 5881508490 7057810188 8822262735 11763016980 17644525470 35289050940