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54689448 = 233111910903
BaseRepresentation
bin1101000010011…
…1111010101000
310210220111211010
43100213322220
5103000030243
65232103520
71232565312
oct320477250
9123814733
1054689448
1128963aa0
1216394ba0
13b43aa28
1473987b2
154c04433
hex3427ea8

54689448 has 64 divisors (see below), whose sum is σ = 157017600. Its totient is φ = 15698880.

The previous prime is 54689443. The next prime is 54689477. The reversal of 54689448 is 84498645.

54689448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54689397 and 54689406.

It is not an unprimeable number, because it can be changed into a prime (54689443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436 + ... + 10467.

It is an arithmetic number, because the mean of its divisors is an integer number (2453400).

Almost surely, 254689448 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 54689448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78508800).

54689448 is an abundant number, since it is smaller than the sum of its proper divisors (102328152).

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

54689448 is a wasteful number, since it uses less digits than its factorization.

54689448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10938 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 54689448 is about 7395.2314365407. The cubic root of 54689448 is about 379.5781283074.

It can be divided in two parts, 5 and 4689448, that added together give a triangular number (4689453 = T3062).

The spelling of 54689448 in words is "fifty-four million, six hundred eighty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 10903 21806 32709 43612 65418 87224 119933 130836 207157 239866 261672 359799 414314 479732 621471 719598 828628 959464 1242942 1439196 1657256 2278727 2485884 2878392 4557454 4971768 6836181 9114908 13672362 18229816 27344724 54689448