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681934848 = 21537991
BaseRepresentation
bin101000101001011…
…000000000000000
31202112011212202020
4220221120000000
52344033403343
6151400121440
722620231150
oct5051300000
91675155666
10681934848
1131aa30821
12170466280
13ab38585a
14667d4760
153ed04b83
hex28a58000

681934848 has 128 divisors (see below), whose sum is σ = 2080343040. Its totient is φ = 194641920.

The previous prime is 681934823. The next prime is 681934859. The reversal of 681934848 is 848439186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 681934848.

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 7 ways as a sum of consecutive naturals, for example, 687633 + ... + 688623.

It is an arithmetic number, because the mean of its divisors is an integer number (16252680).

Almost surely, 2681934848 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 681934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040171520).

681934848 is an abundant number, since it is smaller than the sum of its proper divisors (1398408192).

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

681934848 is an frugal number, since it uses more digits than its factorization.

681934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1003 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 681934848 is about 26113.8822850989. The cubic root of 681934848 is about 880.1991835625.

The spelling of 681934848 in words is "six hundred eighty-one million, nine hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 991 1024 1344 1536 1792 1982 2048 2688 2973 3072 3584 3964 4096 5376 5946 6144 6937 7168 7928 8192 10752 11892 12288 13874 14336 15856 16384 20811 21504 23784 24576 27748 28672 31712 32768 41622 43008 47568 49152 55496 57344 63424 83244 86016 95136 98304 110992 114688 126848 166488 172032 190272 221984 229376 253696 332976 344064 380544 443968 507392 665952 688128 761088 887936 1014784 1331904 1522176 1775872 2029568 2663808 3044352 3551744 4059136 5327616 6088704 7103488 8118272 10655232 12177408 14206976 16236544 21310464 24354816 28413952 32473088 42620928 48709632 56827904 85241856 97419264 113655808 170483712 227311616 340967424 681934848