Search a number
-
+
54311488 = 26711103107
BaseRepresentation
bin1100111100101…
…1101001000000
310210012022100121
43033023221000
5102400431423
65220030024
71226432350
oct317135100
9123168317
1054311488
1128726030
1216232314
13b33799a
1472dab60
154b7c45d
hex33cba40

54311488 has 112 divisors (see below), whose sum is σ = 136940544. Its totient is φ = 20759040.

The previous prime is 54311483. The next prime is 54311497. The reversal of 54311488 is 88411345.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (15360) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (54311483) 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, 507531 + ... + 507637.

Almost surely, 254311488 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 54311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

54311488 is an abundant number, since it is smaller than the sum of its proper divisors (82629056).

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

54311488 is a wasteful number, since it uses less digits than its factorization.

54311488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 54311488 is about 7369.6328266746. The cubic root of 54311488 is about 378.7016818334.

The spelling of 54311488 in words is "fifty-four million, three hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 107 112 154 176 206 214 224 308 352 412 428 448 616 704 721 749 824 856 1133 1177 1232 1442 1498 1648 1712 2266 2354 2464 2884 2996 3296 3424 4532 4708 4928 5768 5992 6592 6848 7931 8239 9064 9416 11021 11536 11984 15862 16478 18128 18832 22042 23072 23968 31724 32956 36256 37664 44084 46144 47936 63448 65912 72512 75328 77147 88168 121231 126896 131824 154294 176336 242462 253792 263648 308588 352672 484924 507584 527296 617176 705344 848617 969848 1234352 1697234 1939696 2468704 3394468 3879392 4937408 6788936 7758784 13577872 27155744 54311488