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890969744 = 2472891132
BaseRepresentation
bin110101000110110…
…001111010010000
32022002111221201102
4311012301322100
53311042012434
6224224323532
731036055300
oct6506617220
92262457642
10890969744
11417a24835
1220a4735a8
13112784342
1486489600
155334607e
hex351b1e90

890969744 has 90 divisors (see below), whose sum is σ = 2048783490. Its totient is φ = 374212608.

The previous prime is 890969719. The next prime is 890969747. The reversal of 890969744 is 447969098.

It can be written as a sum of positive squares in 3 ways, for example, as 151782400 + 739187344 = 12320^2 + 27188^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 890969744.

It is not an unprimeable number, because it can be changed into a prime (890969747) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7884632 + ... + 7884744.

It is an arithmetic number, because the mean of its divisors is an integer number (22764261).

Almost surely, 2890969744 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 890969744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024391745).

890969744 is an abundant number, since it is smaller than the sum of its proper divisors (1157813746).

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

890969744 is a wasteful number, since it uses less digits than its factorization.

890969744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 56.

The square root of 890969744 is about 29849.1163018271. The cubic root of 890969744 is about 962.2494069385.

The spelling of 890969744 in words is "eight hundred ninety million, nine hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 113 178 196 226 356 392 452 623 712 784 791 904 1246 1424 1582 1808 2492 3164 4361 4984 5537 6328 8722 9968 10057 11074 12656 12769 17444 20114 22148 25538 34888 40228 44296 51076 69776 70399 80456 88592 89383 102152 140798 160912 178766 204304 281596 357532 492793 563192 625681 715064 985586 1126384 1136441 1251362 1430128 1971172 2272882 2502724 3942344 4545764 5005448 7884688 7955087 9091528 10010896 15910174 18183056 31820348 55685609 63640696 111371218 127281392 222742436 445484872 890969744