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61144325 = 52112172941
BaseRepresentation
bin1110100100111…
…1110100000101
311021001110020122
43221033310011
5111123104300
610022311325
71341501224
oct351176405
9137043218
1061144325
1131572700
1218588545
13c88aa98
148198cbb
15557bc85
hex3a4fd05

61144325 has 72 divisors (see below), whose sum is σ = 93509640. Its totient is φ = 39424000.

The previous prime is 61144319. The next prime is 61144331. The reversal of 61144325 is 52344116.

It is an interprime number because it is at equal distance from previous prime (61144319) and next prime (61144331).

It can be written as a sum of positive squares in 12 ways, for example, as 22791076 + 38353249 = 4774^2 + 6193^2 .

It is not a de Polignac number, because 61144325 - 24 = 61144309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61144294 and 61144303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491305 + ... + 1491345.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 261144325 is an apocalyptic number.

It is an amenable number.

61144325 is a deficient number, since it is larger than the sum of its proper divisors (32365315).

61144325 is a wasteful number, since it uses less digits than its factorization.

61144325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 61144325 is about 7819.4836786069. The cubic root of 61144325 is about 393.9599300468.

The spelling of 61144325 in words is "sixty-one million, one hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 5 11 17 25 29 41 55 85 121 145 187 205 275 319 425 451 493 605 697 725 935 1025 1189 1595 2057 2255 2465 3025 3485 3509 4675 4961 5423 5945 7667 7975 10285 11275 12325 13079 17425 17545 20213 24805 27115 29725 38335 51425 59653 65395 84337 87725 101065 124025 135575 143869 191675 222343 298265 326975 421685 505325 719345 1111715 1491325 2108425 2445773 3596725 5558575 12228865 61144325