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554863914 = 232112337289
BaseRepresentation
bin100001000100101…
…000110100101010
31102200002000012100
4201010220310222
52114021121124
6131020354230
716515160023
oct4104506452
91380060170
10554863914
1126522a520
121359a5976
138ac54357
1453997c4a
1533aa41c9
hex21128d2a

554863914 has 144 divisors (see below), whose sum is σ = 1422308160. Its totient is φ = 154725120.

The previous prime is 554863913. The next prime is 554863921. The reversal of 554863914 is 419368455.

554863914 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 639 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 554863914.

It is not an unprimeable number, because it can be changed into a prime (554863913) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6234382 + ... + 6234470.

It is an arithmetic number, because the mean of its divisors is an integer number (9877140).

Almost surely, 2554863914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554863914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711154080).

554863914 is an abundant number, since it is smaller than the sum of its proper divisors (867444246).

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

554863914 is a wasteful number, since it uses less digits than its factorization.

554863914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 165 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 554863914 is about 23555.5495372110. The cubic root of 554863914 is about 821.7294028236.

It can be divided in two parts, 554 and 863914, that added together give a palindrome (864468).

The spelling of 554863914 in words is "five hundred fifty-four million, eight hundred sixty-three thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 89 99 111 138 178 198 207 222 253 267 333 407 414 506 534 666 759 801 814 851 979 1221 1369 1518 1602 1702 1958 2047 2277 2442 2553 2738 2937 3293 3663 4094 4107 4554 5106 5874 6141 6586 7326 7659 8214 8811 9361 9879 12282 12321 15059 15318 17622 18423 18722 19758 22517 24642 28083 29637 30118 31487 36223 36846 45034 45177 56166 59274 62974 67551 72446 75739 84249 90354 94461 108669 121841 135102 135531 151478 168498 188922 202653 217338 227217 243682 271062 283383 326007 346357 365523 405306 454434 566766 652014 681651 692714 731046 833129 1039071 1096569 1340251 1363302 1666258 2078142 2193138 2499387 2680502 2802343 3117213 4020753 4998774 5604686 6234426 7498161 8041506 8407029 12062259 14996322 16814058 24124518 25221087 30825773 50442174 61651546 92477319 184954638 277431957 554863914