[go: up one dir, main page]

Search a number
-
+
54245376 = 21135109
BaseRepresentation
bin1100111011101…
…1100000000000
310210001221200000
43032323200000
5102341323001
65214400000
71226035533
oct316734000
9123057600
1054245376
1128690399
1216200000
13b313873
1472c0a1a
154b67a86
hex33bb800

54245376 has 144 divisors (see below), whose sum is σ = 163963800. Its totient is φ = 17915904.

The previous prime is 54245371. The next prime is 54245393. The reversal of 54245376 is 67354245.

54245376 is a `hidden beast` number, since 542 + 45 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54245376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54245371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497610 + ... + 497718.

Almost surely, 254245376 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 54245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81981900).

54245376 is an abundant number, since it is smaller than the sum of its proper divisors (109718424).

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

54245376 is an equidigital number, since it uses as much as digits as its factorization.

54245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 54245376 is about 7365.1460270656. The cubic root of 54245376 is about 378.5479581170.

The spelling of 54245376 in words is "fifty-four million, two hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 243 256 288 324 327 384 432 436 486 512 576 648 654 768 864 872 972 981 1024 1152 1296 1308 1536 1728 1744 1944 1962 2048 2304 2592 2616 2943 3072 3456 3488 3888 3924 4608 5184 5232 5886 6144 6912 6976 7776 7848 8829 9216 10368 10464 11772 13824 13952 15552 15696 17658 18432 20736 20928 23544 26487 27648 27904 31104 31392 35316 41472 41856 47088 52974 55296 55808 62208 62784 70632 82944 83712 94176 105948 111616 124416 125568 141264 165888 167424 188352 211896 223232 248832 251136 282528 334848 376704 423792 497664 502272 565056 669696 753408 847584 1004544 1130112 1506816 1695168 2009088 2260224 3013632 3390336 4520448 6027264 6780672 9040896 13561344 18081792 27122688 54245376