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4977809460 = 22325132127269
BaseRepresentation
bin1001010001011001…
…10101100000110100
3110211220121220212100
410220230311200310
540143304400320
62141535422100
7234232453011
oct45054654064
913756556770
104977809460
112124930a18
12b6b084930
1361438c3b0
14353166708
151e2021790
hex128b35834

4977809460 has 72 divisors (see below), whose sum is σ = 16260851880. Its totient is φ = 1225306368.

The previous prime is 4977809401. The next prime is 4977809471. The reversal of 4977809460 is 649087794.

It is a happy number.

4977809460 is a `hidden beast` number, since 497 + 7 + 8 + 0 + 94 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 495774756 + 4482034704 = 22266^2 + 66948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4977809397 and 4977809406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061295 + ... + 1065974.

It is an arithmetic number, because the mean of its divisors is an integer number (225845165).

Almost surely, 24977809460 is an apocalyptic number.

It is an amenable number.

4977809460 is an abundant number, since it is smaller than the sum of its proper divisors (11283042420).

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

4977809460 is a wasteful number, since it uses less digits than its factorization.

4977809460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127297 (or 2127292 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4977809460 is about 70553.5928213440. The cubic root of 4977809460 is about 1707.4425091060.

The spelling of 4977809460 in words is "four billion, nine hundred seventy-seven million, eight hundred nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2127269 4254538 6381807 8509076 10636345 12763614 19145421 21272690 25527228 27654497 31909035 38290842 42545380 55308994 63818070 76581684 82963491 95727105 110617988 127636140 138272485 165926982 191454210 248890473 276544970 331853964 382908420 414817455 497780946 553089940 829634910 995561892 1244452365 1659269820 2488904730 4977809460