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554872968 = 2332132311471
BaseRepresentation
bin100001000100101…
…011000010001000
31102200002110121200
4201010223002020
52114021413333
6131020504200
716515225306
oct4104530210
91380073550
10554872968
11265236301
121359ab060
138ac58500
145399b276
1533aa6c13
hex2112b088

554872968 has 144 divisors (see below), whose sum is σ = 1680906240. Its totient is φ = 165110400.

The previous prime is 554872951. The next prime is 554872973. The reversal of 554872968 is 869278455.

554872968 is a `hidden beast` number, since 5 + 548 + 7 + 2 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376473 + ... + 377943.

It is an arithmetic number, because the mean of its divisors is an integer number (11672960).

Almost surely, 2554872968 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 554872968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840453120).

554872968 is an abundant number, since it is smaller than the sum of its proper divisors (1126033272).

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

554872968 is a wasteful number, since it uses less digits than its factorization.

554872968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1520 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 554872968 is about 23555.7417204384. The cubic root of 554872968 is about 821.7338723264.

The spelling of 554872968 in words is "five hundred fifty-four million, eight hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 169 186 234 248 279 312 338 372 403 468 507 558 676 744 806 936 1014 1116 1209 1352 1471 1521 1612 2028 2232 2418 2942 3042 3224 3627 4056 4413 4836 5239 5884 6084 7254 8826 9672 10478 11768 12168 13239 14508 15717 17652 19123 20956 26478 29016 31434 35304 38246 41912 45601 47151 52956 57369 62868 76492 91202 94302 105912 114738 125736 136803 152984 172107 182404 188604 229476 248599 273606 344214 364808 377208 410409 458952 497198 547212 592813 688428 745797 820818 994396 1094424 1185626 1376856 1491594 1641636 1778439 1988792 2237391 2371252 2983188 3283272 3556878 4474782 4742504 5335317 5966376 7113756 7706569 8949564 10670634 14227512 15413138 17899128 21341268 23119707 30826276 42682536 46239414 61652552 69359121 92478828 138718242 184957656 277436484 554872968