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4676940432 = 243329577647
BaseRepresentation
bin1000101101100010…
…00111001010010000
3110001221111012011000
410112301013022100
534034244043212
62052031022000
7223620223563
oct42661071220
913057435130
104676940432
111a9001362a
12aa636a900
13596c48b98
143252084da
151c58e01dc
hex116c47290

4676940432 has 160 divisors (see below), whose sum is σ = 13933036800. Its totient is φ = 1500291072.

The previous prime is 4676940407. The next prime is 4676940439. The reversal of 4676940432 is 2340496764.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4676940439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7228333 + ... + 7228979.

It is an arithmetic number, because the mean of its divisors is an integer number (87081480).

Almost surely, 24676940432 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 4676940432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966518400).

4676940432 is an abundant number, since it is smaller than the sum of its proper divisors (9256096368).

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

4676940432 is a wasteful number, since it uses less digits than its factorization.

4676940432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4676940432 is about 68388.1600278879. The cubic root of 4676940432 is about 1672.3247329861.

The spelling of 4676940432 in words is "four billion, six hundred seventy-six million, nine hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 577 647 696 783 1044 1154 1294 1392 1566 1731 1941 2088 2308 2588 3132 3462 3882 4176 4616 5176 5193 5823 6264 6924 7764 9232 10352 10386 11646 12528 13848 15528 15579 16733 17469 18763 20772 23292 27696 31056 31158 33466 34938 37526 41544 46584 50199 56289 62316 66932 69876 75052 83088 93168 100398 112578 124632 133864 139752 150104 150597 168867 200796 225156 249264 267728 279504 300208 301194 337734 373319 401592 450312 451791 506601 602388 675468 746638 803184 900624 903582 1013202 1119957 1204776 1350936 1493276 1807164 2026404 2239914 2409552 2701872 2986552 3359871 3614328 4052808 4479828 5973104 6719742 7228656 8105616 8959656 10079613 10826251 13439484 17919312 20159226 21652502 26878968 32478753 40318452 43305004 53757936 64957506 80636904 86610008 97436259 129915012 161273808 173220016 194872518 259830024 292308777 389745036 519660048 584617554 779490072 1169235108 1558980144 2338470216 4676940432