Search a number
-
+
61057296 = 24322914621
BaseRepresentation
bin1110100011101…
…0100100010000
311020220000212100
43220322210100
5111112313141
610020400400
71340656416
oct350724420
9136800770
1061057296
1131513283
1218546100
13c85a2a1
1481752b6
1555610b6
hex3a3a910

61057296 has 60 divisors (see below), whose sum is σ = 176779980. Its totient is φ = 19649280.

The previous prime is 61057261. The next prime is 61057307. The reversal of 61057296 is 69275016.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 51322896 = 3120^2 + 7164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61057296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3135 + ... + 11486.

It is an arithmetic number, because the mean of its divisors is an integer number (2946333).

Almost surely, 261057296 is an apocalyptic number.

It is an amenable number.

61057296 is an abundant number, since it is smaller than the sum of its proper divisors (115722684).

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

61057296 is a wasteful number, since it uses less digits than its factorization.

61057296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 61057296 is about 7813.9168155286. The cubic root of 61057296 is about 393.7729286724.

The spelling of 61057296 in words is "sixty-one million, fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 14621 29242 43863 58484 87726 116968 131589 175452 233936 263178 350904 424009 526356 701808 848018 1052712 1272027 1696036 2105424 2544054 3392072 3816081 5088108 6784144 7632162 10176216 15264324 20352432 30528648 61057296