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551241144 = 233279199487
BaseRepresentation
bin100000110110110…
…100010110111000
31102102020221200200
4200312310112320
52112104204034
6130411002200
716442321016
oct4066642670
91372227620
10551241144
112631856a3
12134739360
138a2863bc
14532d38b6
15335daa99
hex20db45b8

551241144 has 96 divisors (see below), whose sum is σ = 1522560000. Its totient is φ = 180138816.

The previous prime is 551241139. The next prime is 551241149. The reversal of 551241144 is 441142155.

551241144 is a `hidden beast` number, since 5 + 512 + 4 + 1 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (551241139) and next prime (551241149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551241149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131669 + ... + 1132155.

It is an arithmetic number, because the mean of its divisors is an integer number (15860000).

Almost surely, 2551241144 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 551241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761280000).

551241144 is an abundant number, since it is smaller than the sum of its proper divisors (971318856).

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

551241144 is a wasteful number, since it uses less digits than its factorization.

551241144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 770 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 551241144 is about 23478.5251666283. The cubic root of 551241144 is about 819.9371080061.

Adding to 551241144 its reverse (441142155), we get a palindrome (992383299).

It can be divided in two parts, 5512 and 41144, that added together give a 6-th power (46656 = 66).

The spelling of 551241144 in words is "five hundred fifty-one million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 199 237 316 398 474 487 597 632 711 796 948 974 1194 1422 1461 1592 1791 1896 1948 2388 2844 2922 3582 3896 4383 4776 5688 5844 7164 8766 11688 14328 15721 17532 31442 35064 38473 47163 62884 76946 94326 96913 115419 125768 141489 153892 188652 193826 230838 282978 290739 307784 346257 377304 387652 461676 565956 581478 692514 775304 872217 923352 1131912 1162956 1385028 1744434 2325912 2770056 3488868 6977736 7656127 15312254 22968381 30624508 45936762 61249016 68905143 91873524 137810286 183747048 275620572 551241144