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61057248 = 2537432113
BaseRepresentation
bin1110100011101…
…0100011100000
311020220000210120
43220322203200
5111112312443
610020400240
71340656320
oct350724340
9136800716
1061057248
113151323a
1218546080
13c85a265
148175280
155561083
hex3a3a8e0

61057248 has 96 divisors (see below), whose sum is σ = 187520256. Its totient is φ = 17031168.

The previous prime is 61057247. The next prime is 61057261. The reversal of 61057248 is 84275016.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61057247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27840 + ... + 29952.

It is an arithmetic number, because the mean of its divisors is an integer number (1953336).

Almost surely, 261057248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93760128).

61057248 is an abundant number, since it is smaller than the sum of its proper divisors (126463008).

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

61057248 is a wasteful number, since it uses less digits than its factorization.

61057248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 61057248 is about 7813.9137440850. The cubic root of 61057248 is about 393.7728254846.

The spelling of 61057248 in words is "sixty-one million, fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2113 2408 3612 4128 4226 4816 6339 7224 8452 9632 12678 14448 14791 16904 25356 28896 29582 33808 44373 50712 59164 67616 88746 90859 101424 118328 177492 181718 202848 236656 272577 354984 363436 473312 545154 636013 709968 726872 1090308 1272026 1419936 1453744 1908039 2180616 2544052 2907488 3816078 4361232 5088104 7632156 8722464 10176208 15264312 20352416 30528624 61057248