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840975872 = 29111929271
BaseRepresentation
bin110010001000000…
…100011000000000
32011121110000000112
4302020010120000
53210242211442
6215241010452
726561114462
oct6210043000
92147400015
10840975872
113a1788690
121b5783a28
131052cb979
147d994132
154dc6d082
hex32204600

840975872 has 160 divisors (see below), whose sum is σ = 2003443200. Its totient is φ = 348364800.

The previous prime is 840975859. The next prime is 840975913. The reversal of 840975872 is 278579048.

It is a self number, because there is not a number n which added to its sum of digits gives 840975872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103097 + ... + 3103367.

It is an arithmetic number, because the mean of its divisors is an integer number (12521520).

Almost surely, 2840975872 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 840975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001721600).

840975872 is an abundant number, since it is smaller than the sum of its proper divisors (1162467328).

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

840975872 is a wasteful number, since it uses less digits than its factorization.

840975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 50.

The square root of 840975872 is about 28999.5839970162. The cubic root of 840975872 is about 943.9040408061.

The spelling of 840975872 in words is "eight hundred forty million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 76 88 116 128 152 176 209 232 256 271 304 319 352 418 464 512 542 551 608 638 704 836 928 1084 1102 1216 1276 1408 1672 1856 2168 2204 2432 2552 2816 2981 3344 3712 4336 4408 4864 5104 5149 5632 5962 6061 6688 7424 7859 8672 8816 9728 10208 10298 11924 12122 13376 14848 15718 17344 17632 20416 20596 23848 24244 26752 31436 34688 35264 40832 41192 47696 48488 53504 56639 62872 69376 70528 81664 82384 86449 95392 96976 107008 113278 125744 138752 141056 149321 163328 164768 172898 190784 193952 226556 251488 282112 298642 329536 345796 381568 387904 453112 502976 597284 659072 691592 763136 775808 906224 1005952 1194568 1318144 1383184 1526272 1551616 1642531 1812448 2011904 2389136 2636288 2766368 3103232 3285062 3624896 4023808 4778272 5532736 6570124 7249792 9556544 11065472 13140248 14499584 19113088 22130944 26280496 28999168 38226176 44261888 52560992 76452352 105121984 210243968 420487936 840975872