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59402144 = 255973431
BaseRepresentation
bin1110001010011…
…0011110100000
311010202221102102
43202212132200
5110201332034
65521105532
71320624044
oct342463640
9133687372
1059402144
113059278a
1217a882a8
13c3caac9
147c64024
15533597e
hex38a67a0

59402144 has 48 divisors (see below), whose sum is σ = 120839040. Its totient is φ = 28730880.

The previous prime is 59402141. The next prime is 59402159. The reversal of 59402144 is 44120495.

It is a super-2 number, since 2×594021442 = 7057229423593472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59402141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137609 + ... + 138039.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 259402144 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 59402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60419520).

59402144 is an abundant number, since it is smaller than the sum of its proper divisors (61436896).

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

59402144 is a wasteful number, since it uses less digits than its factorization.

59402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 59402144 is about 7707.2786377554. The cubic root of 59402144 is about 390.1821283896.

The spelling of 59402144 in words is "fifty-nine million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 73 118 146 236 292 431 472 584 862 944 1168 1724 1888 2336 3448 4307 6896 8614 13792 17228 25429 31463 34456 50858 62926 68912 101716 125852 137824 203432 251704 406864 503408 813728 1006816 1856317 3712634 7425268 14850536 29701072 59402144