Search a number
-
+
1890453376 = 27743139353
BaseRepresentation
bin111000010101110…
…0000011110000000
311212202012222111201
41300223200132000
512332424002001
6511330550544
764563405610
oct16053403600
94782188451
101890453376
11890125669
12449138454
13241870486
1413d100a40
15b0e74501
hex70ae0780

1890453376 has 128 divisors (see below), whose sum is σ = 4448505600. Its totient is φ = 783433728.

The previous prime is 1890453371. The next prime is 1890453407. The reversal of 1890453376 is 6733540981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890453371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355216 + ... + 5355568.

It is an arithmetic number, because the mean of its divisors is an integer number (34753950).

Almost surely, 21890453376 is an apocalyptic number.

1890453376 is a gapful number since it is divisible by the number (16) 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 1890453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224252800).

1890453376 is an abundant number, since it is smaller than the sum of its proper divisors (2558052224).

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

1890453376 is a wasteful number, since it uses less digits than its factorization.

1890453376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 1890453376 is about 43479.3442452850. The cubic root of 1890453376 is about 1236.4844440409.

The spelling of 1890453376 in words is "one billion, eight hundred ninety million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 139 172 224 278 301 344 353 448 556 602 688 706 896 973 1112 1204 1376 1412 1946 2224 2408 2471 2752 2824 3892 4448 4816 4942 5504 5648 5977 7784 8896 9632 9884 11296 11954 15179 15568 17792 19264 19768 22592 23908 30358 31136 38528 39536 41839 45184 47816 49067 60716 62272 79072 83678 95632 98134 106253 121432 124544 158144 167356 191264 196268 212506 242864 316288 334712 343469 382528 392536 425012 485728 669424 686938 765056 785072 850024 971456 1338848 1373876 1570144 1700048 1942912 2109881 2677696 2747752 3140288 3400096 4219762 5355392 5495504 6280576 6800192 8439524 10991008 13600384 14769167 16879048 21982016 29538334 33758096 43964032 59076668 67516192 118153336 135032384 236306672 270064768 472613344 945226688 1890453376