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54791968 = 2571137601
BaseRepresentation
bin1101000100000…
…0111100100000
310211002201110011
43101000330200
5103011320333
65234214304
71233503230
oct321007440
9124081404
1054791968
1128a24020
1216424394
13b4755aa
1473c3cc0
154c249cd
hex3440f20

54791968 has 96 divisors (see below), whose sum is σ = 138354048. Its totient is φ = 20736000.

The previous prime is 54791963. The next prime is 54791977. The reversal of 54791968 is 86919745.

It is not an unprimeable number, because it can be changed into a prime (54791963) 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, 90868 + ... + 91468.

It is an arithmetic number, because the mean of its divisors is an integer number (1441188).

Almost surely, 254791968 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 54791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69177024).

54791968 is an abundant number, since it is smaller than the sum of its proper divisors (83562080).

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

54791968 is a wasteful number, since it uses less digits than its factorization.

54791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 54791968 is about 7402.1596848487. The cubic root of 54791968 is about 379.8151640327.

It can be divided in two parts, 5479 and 1968, that added together give a palindrome (7447).

The spelling of 54791968 in words is "fifty-four million, seven hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 601 616 814 1036 1184 1202 1232 1628 2072 2404 2464 2849 3256 4144 4207 4808 5698 6512 6611 8288 8414 9616 11396 13024 13222 16828 19232 22237 22792 26444 33656 44474 45584 46277 52888 67312 88948 91168 92554 105776 134624 155659 177896 185108 211552 244607 311318 355792 370216 489214 622636 711584 740432 978428 1245272 1480864 1712249 1956856 2490544 3424498 3913712 4981088 6848996 7827424 13697992 27395984 54791968