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890539328 = 26721991427
BaseRepresentation
bin110101000101001…
…000110101000000
32022001201002022002
4311011020311000
53310434224303
6224211203132
731032313400
oct6505106500
92261632262
10890539328
11417760418
1220a2a64a8
13112663463
14863b6800
15532ad788
hex35148d40

890539328 has 84 divisors (see below), whose sum is σ = 2067458400. Its totient is φ = 379475712.

The previous prime is 890539301. The next prime is 890539381. The reversal of 890539328 is 823935098.

It is a congruent number.

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, 623351 + ... + 624777.

It is an arithmetic number, because the mean of its divisors is an integer number (24612600).

Almost surely, 2890539328 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 890539328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033729200).

890539328 is an abundant number, since it is smaller than the sum of its proper divisors (1176919072).

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

890539328 is a wasteful number, since it uses less digits than its factorization.

890539328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 890539328 is about 29841.9055691824. The cubic root of 890539328 is about 962.0944318848.

The spelling of 890539328 in words is "eight hundred ninety million, five hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 199 224 392 398 448 784 796 1393 1427 1568 1592 2786 2854 3136 3184 5572 5708 6368 9751 9989 11144 11416 12736 19502 19978 22288 22832 39004 39956 44576 45664 69923 78008 79912 89152 91328 139846 156016 159824 279692 283973 312032 319648 559384 567946 624064 639296 1118768 1135892 1987811 2237536 2271784 3975622 4475072 4543568 7951244 9087136 13914677 15902488 18174272 27829354 31804976 55658708 63609952 111317416 127219904 222634832 445269664 890539328