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526428112 = 2473126773
BaseRepresentation
bin11111011000001…
…010011111010000
31100200120022121111
4133120022133100
52034231144422
6124123103104
716021364560
oct3730123720
91320508544
10526428112
11250178261
12128371a94
13850a9332
144dcb4da0
1531338a77
hex1f60a7d0

526428112 has 120 divisors (see below), whose sum is σ = 1239200448. Its totient is φ = 212129280.

The previous prime is 526428107. The next prime is 526428121. The reversal of 526428112 is 211824625.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7211308 + ... + 7211380.

Almost surely, 2526428112 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 526428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619600224).

526428112 is an abundant number, since it is smaller than the sum of its proper divisors (712772336).

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

526428112 is a wasteful number, since it uses less digits than its factorization.

526428112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 526428112 is about 22944.0212691673. The cubic root of 526428112 is about 807.4451391063.

The spelling of 526428112 in words is "five hundred twenty-six million, four hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 73 112 124 134 146 217 248 268 292 434 469 496 511 536 584 868 938 961 1022 1072 1168 1736 1876 1922 2044 2077 2263 3472 3752 3844 4088 4154 4526 4891 6727 7504 7688 8176 8308 9052 9782 13454 14539 15376 15841 16616 18104 19564 26908 29078 31682 33232 34237 36208 39128 53816 58156 63364 64387 68474 70153 78256 107632 116312 126728 128774 136948 140306 151621 232624 253456 257548 273896 280612 303242 450709 491071 515096 547792 561224 606484 901418 982142 1030192 1061347 1122448 1212968 1802836 1964284 2122694 2425936 3605672 3928568 4245388 4700251 7211344 7857136 8490776 9400502 16981552 18801004 32901757 37602008 65803514 75204016 131607028 263214056 526428112