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47261890404 = 223219219072
BaseRepresentation
bin101100000001000001…
…110011011101100100
311111222202120210101100
4230001001303131210
51233243020443104
633413430200100
73262123303641
oct540101633544
9144882523340
1047261890404
1119053117863
1291abab3030
1345c2702031
142404c1adc8
1513692d3139
hexb01073764

47261890404 has 81 divisors (see below), whose sum is σ = 126152409747. Its totient is φ = 14916981168.

The previous prime is 47261890399. The next prime is 47261890421. The reversal of 47261890404 is 40409816274.

The square root of 47261890404 is 217398.

It is a perfect power (a square), and thus also a powerful number.

47261890404 is a `hidden beast` number, since 47 + 26 + 189 + 0 + 404 = 666.

It is a super-3 number, since 3×472618904043 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47261890404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24782419 + ... + 24784325.

Almost surely, 247261890404 is an apocalyptic number.

47261890404 is the 217398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47261890404

47261890404 is an abundant number, since it is smaller than the sum of its proper divisors (78890519343).

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

47261890404 is a wasteful number, since it uses less digits than its factorization.

47261890404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47261890404 in words is "forty-seven billion, two hundred sixty-one million, eight hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 1907 2166 3249 3814 4332 5721 6498 7628 11442 12996 17163 22884 34326 36233 68652 72466 108699 144932 217398 326097 434796 652194 688427 1304388 1376854 2065281 2753708 3636649 4130562 6195843 7273298 8261124 10909947 12391686 14546596 21819894 24783372 32729841 43639788 65459682 69096331 130919364 138192662 207288993 276385324 414577986 621866979 829155972 1243733958 1312830289 2487467916 2625660578 3938490867 5251321156 7876981734 11815472601 15753963468 23630945202 47261890404