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54992025 = 325211171307
BaseRepresentation
bin1101000111000…
…1110010011001
310211110212212200
43101301302121
5103034221100
65242400413
71235265414
oct321616231
9124425780
1054992025
1129050360
1216500109
13b51567a
147436b7b
154c63e00
hex3471c99

54992025 has 72 divisors (see below), whose sum is σ = 113858784. Its totient is φ = 25075200.

The previous prime is 54991999. The next prime is 54992039. The reversal of 54992025 is 52029945.

It is a happy number.

54992025 is a `hidden beast` number, since 549 + 92 + 0 + 25 = 666.

54992025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54992025 - 213 = 54983833 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 41422 + ... + 42728.

It is an arithmetic number, because the mean of its divisors is an integer number (1581372).

Almost surely, 254992025 is an apocalyptic number.

54992025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54992025 is an abundant number, since it is smaller than the sum of its proper divisors (58866759).

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

54992025 is a wasteful number, since it uses less digits than its factorization.

54992025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54992025 is about 7415.6607932132. The cubic root of 54992025 is about 380.2768642508.

It can be divided in two parts, 549920 and 25, that added together give a palindrome (549945).

The spelling of 54992025 in words is "fifty-four million, nine hundred ninety-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1307 1683 2475 2805 3825 3921 4675 6535 8415 11763 14025 14377 19605 22219 32675 42075 43131 58815 66657 71885 98025 111095 129393 199971 215655 244409 294075 333285 359425 555475 646965 733227 999855 1078275 1222045 1666425 2199681 3234825 3666135 4999275 6110225 10998405 18330675 54992025