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48902049 = 3672372
BaseRepresentation
bin1011101010001…
…0111110100001
310102000111000000
42322202332201
5100004331144
64504050213
71132442400
oct272427641
9112014000
1048902049
1125670919
1214463969
13a192731
1466cd637
15445e769
hex2ea2fa1

48902049 has 63 divisors (see below), whose sum is σ = 87657507. Its totient is φ = 27188784.

The previous prime is 48902041. The next prime is 48902107. The reversal of 48902049 is 94020984.

It is a happy number.

The square root of 48902049 is 6993.

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

It can be written as a sum of positive squares in only one way, i.e., 43758225 + 5143824 = 6615^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 48902049 - 23 = 48902041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48902041) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1321659 + ... + 1321695.

It is an arithmetic number, because the mean of its divisors is an integer number (1391389).

Almost surely, 248902049 is an apocalyptic number.

48902049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48902049 is the 6993-rd square number.

48902049 is the 3497-th centered octagonal number.

It is an amenable number.

48902049 is a deficient number, since it is larger than the sum of its proper divisors (38755458).

48902049 is an frugal number, since it uses more digits than its factorization.

48902049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 48902049 is about 365.6865766113.

Multiplying 48902049 by its sum of digits (36), we get a square (1760473764 = 419582).

Multiplying 48902049 by its product of nonzero digits (20736), we get a square (1014032888064 = 10069922).

The spelling of 48902049 in words is "forty-eight million, nine hundred two thousand, forty-nine".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 243 259 333 441 567 729 777 999 1323 1369 1701 1813 2331 2997 3969 4107 5103 5439 6993 8991 9583 11907 12321 16317 20979 26973 28749 35721 36963 48951 62937 67081 86247 110889 146853 188811 201243 258741 332667 440559 603729 776223 998001 1321677 1811187 2328669 5433561 6986007 16300683 48902049