Search a number
-
+
49927668025 = 52232292672
BaseRepresentation
bin101110011111111010…
…111100000100111001
311202212112201022210211
4232133322330010321
51304222440334100
634534135111121
73415153114234
oct563772740471
9152775638724
1049927668025
111a1a0959a64
1298148124a1
134928a95941
1425b8ca241b
1514733581ba
hexb9febc139

49927668025 has 81 divisors (see below), whose sum is σ = 68043087021. Its totient is φ = 36337519680.

The previous prime is 49927668013. The next prime is 49927668113. The reversal of 49927668025 is 52086672994.

The square root of 49927668025 is 223445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 686282809 + 49241385216 = 26197^2 + 221904^2 .

It is not a de Polignac number, because 49927668025 - 221 = 49925570873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 745189042 + ... + 745189108.

Almost surely, 249927668025 is an apocalyptic number.

49927668025 is the 223445-th square number.

49927668025 is the 111723-rd centered octagonal number.

It is an amenable number.

49927668025 is a deficient number, since it is larger than the sum of its proper divisors (18115418996).

49927668025 is an equidigital number, since it uses as much as digits as its factorization.

49927668025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 49927668025 in words is "forty-nine billion, nine hundred twenty-seven million, six hundred sixty-eight thousand, twenty-five".

Divisors: 1 5 23 25 29 67 115 145 335 529 575 667 725 841 1541 1675 1943 2645 3335 4205 4489 7705 9715 13225 15341 16675 19343 21025 22445 35443 38525 44689 48575 56347 76705 96715 103247 112225 130181 177215 223445 281735 383525 444889 483575 516235 650905 886075 1027847 1117225 1295981 1408675 2224445 2374681 2581175 2994163 3254525 3775249 5139235 6479905 11122225 11873405 14970815 18876245 25696175 29807563 32399525 59367025 68865749 74854075 86830727 94381225 149037815 344328745 434153635 745189075 1721643725 1997106721 2170768175 9985533605 49927668025