Search a number
-
+
554096256 = 27371391483
BaseRepresentation
bin100001000001101…
…101011010000000
31102121122000011120
4201001231122000
52113322040011
6130552112240
716505511660
oct4101553200
91377560146
10554096256
1126485579a
12135695680
138aa45b0c
14538381a0
15339a1a06
hex2106d680

554096256 has 128 divisors (see below), whose sum is σ = 1695321600. Its totient is φ = 157068288.

The previous prime is 554096239. The next prime is 554096261. The reversal of 554096256 is 652690455.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372891 + ... + 374373.

It is an arithmetic number, because the mean of its divisors is an integer number (13244700).

Almost surely, 2554096256 is an apocalyptic number.

554096256 is a gapful number since it is divisible by the number (56) 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 554096256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847660800).

554096256 is an abundant number, since it is smaller than the sum of its proper divisors (1141225344).

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

554096256 is a wasteful number, since it uses less digits than its factorization.

554096256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 554096256 is about 23539.2492658538. The cubic root of 554096256 is about 821.3502718532.

The spelling of 554096256 in words is "five hundred fifty-four million, ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 278 336 384 417 448 556 672 834 896 973 1112 1344 1483 1668 1946 2224 2688 2919 2966 3336 3892 4448 4449 5838 5932 6672 7784 8896 8898 10381 11676 11864 13344 15568 17792 17796 20762 23352 23728 26688 31136 31143 35592 41524 46704 47456 53376 62272 62286 71184 83048 93408 94912 124544 124572 142368 166096 186816 189824 206137 249144 284736 332192 373632 412274 498288 569472 618411 664384 824548 996576 1236822 1328768 1442959 1649096 1993152 2473644 2885918 3298192 3986304 4328877 4947288 5771836 6596384 8657754 9894576 11543672 13192768 17315508 19789152 23087344 26385536 34631016 39578304 46174688 69262032 79156608 92349376 138524064 184698752 277048128 554096256