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850660944 = 243729671303
BaseRepresentation
bin110010101101000…
…000111001010000
32012021200001102220
4302231000321100
53220232122234
6220224341040
730036333030
oct6255007120
92167601386
10850660944
113a71a3181
121b8a74780
13107310093
1480d958c0
154ea32a49
hex32b40e50

850660944 has 160 divisors (see below), whose sum is σ = 2638878720. Its totient is φ = 230985216.

The previous prime is 850660939. The next prime is 850660963. The reversal of 850660944 is 449066058.

It is a super-2 number, since 2×8506609442 = 1447248083293942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 850660896 and 850660905.

It is a congruent number.

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, 652197 + ... + 653499.

It is an arithmetic number, because the mean of its divisors is an integer number (16492992).

Almost surely, 2850660944 is an apocalyptic number.

850660944 is a gapful number since it is divisible by the number (84) 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 850660944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319439360).

850660944 is an abundant number, since it is smaller than the sum of its proper divisors (1788217776).

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

850660944 is a wasteful number, since it uses less digits than its factorization.

850660944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 850660944 is about 29166.0923676793. The cubic root of 850660944 is about 947.5136995580.

The spelling of 850660944 in words is "eight hundred fifty million, six hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 67 84 87 112 116 134 168 174 201 203 232 268 336 348 402 406 464 469 536 609 696 804 812 938 1072 1218 1303 1392 1407 1608 1624 1876 1943 2436 2606 2814 3216 3248 3752 3886 3909 4872 5212 5628 5829 7504 7772 7818 9121 9744 10424 11256 11658 13601 15544 15636 18242 20848 22512 23316 27202 27363 31088 31272 36484 37787 40803 46632 54404 54726 62544 72968 75574 81606 87301 93264 108808 109452 113361 145936 151148 163212 174602 217616 218904 226722 261903 264509 302296 326424 349204 437808 453444 523806 529018 604592 611107 652848 698408 793527 906888 1047612 1058036 1222214 1396816 1587054 1813776 1833321 2095224 2116072 2444428 2531729 3174108 3666642 4190448 4232144 4888856 5063458 6348216 7333284 7595187 9777712 10126916 12696432 14666568 15190374 17722103 20253832 29333136 30380748 35444206 40507664 53166309 60761496 70888412 106332618 121522992 141776824 212665236 283553648 425330472 850660944