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259025052 = 2231113271557
BaseRepresentation
bin11110111000001…
…10100010011100
3200001101211120110
433130012202130
51012302300202
641411450020
76263451036
oct1734064234
9601354513
10259025052
111232383a0
12728b6910
1341882580
1426588c56
1517b1826c
hexf70689c

259025052 has 96 divisors (see below), whose sum is σ = 713954304. Its totient is φ = 72057600.

The previous prime is 259025029. The next prime is 259025059. The reversal of 259025052 is 250520952.

259025052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259025059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464758 + ... + 465314.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2259025052 is an apocalyptic number.

259025052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259025052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152).

259025052 is an abundant number, since it is smaller than the sum of its proper divisors (454929252).

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

259025052 is a wasteful number, since it uses less digits than its factorization.

259025052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 259025052 is about 16094.2552483798. The cubic root of 259025052 is about 637.4516601562.

The spelling of 259025052 in words is "two hundred fifty-nine million, twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 271 286 429 542 557 572 813 858 1084 1114 1626 1671 1716 2228 2981 3252 3342 3523 5962 6127 6684 7046 7241 8943 10569 11924 12254 14092 14482 17886 18381 21138 21723 24508 28964 35772 36762 38753 42276 43446 73524 77506 79651 86892 116259 150947 155012 159302 232518 238953 301894 318604 452841 465036 477906 603788 905682 955812 1660417 1811364 1962311 3320834 3924622 4981251 5886933 6641668 7849244 9962502 11773866 19925004 21585421 23547732 43170842 64756263 86341684 129512526 259025052