Search a number
-
+
54530304 = 2831937101
BaseRepresentation
bin1101000000000…
…1000100000000
310210121102111220
43100001010000
5102424432204
65224435040
71231333323
oct320010400
9123542456
1054530304
1128865474
1216318a80
13b3b346a
1473567ba
154bc21d9
hex3401100

54530304 has 144 divisors (see below), whose sum is σ = 158450880. Its totient is φ = 16588800.

The previous prime is 54530299. The next prime is 54530317. The reversal of 54530304 is 40303545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539854 + ... + 539954.

Almost surely, 254530304 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 54530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79225440).

54530304 is an abundant number, since it is smaller than the sum of its proper divisors (103920576).

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

54530304 is a wasteful number, since it uses less digits than its factorization.

54530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 54530304 is about 7384.4636907497. The cubic root of 54530304 is about 379.2095851162.

Adding to 54530304 its reverse (40303545), we get a palindrome (94833849).

The spelling of 54530304 in words is "fifty-four million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 101 111 114 128 148 152 192 202 222 228 256 296 303 304 384 404 444 456 592 606 608 703 768 808 888 912 1184 1212 1216 1406 1616 1776 1824 1919 2109 2368 2424 2432 2812 3232 3552 3648 3737 3838 4218 4736 4848 4864 5624 5757 6464 7104 7296 7474 7676 8436 9472 9696 11211 11248 11514 12928 14208 14592 14948 15352 16872 19392 22422 22496 23028 25856 28416 29896 30704 33744 38784 44844 44992 46056 59792 61408 67488 71003 77568 89688 89984 92112 119584 122816 134976 142006 179376 179968 184224 213009 239168 245632 269952 284012 358752 368448 426018 478336 491264 539904 568024 717504 736896 852036 956672 1136048 1435008 1473792 1704072 2272096 2870016 3408144 4544192 6816288 9088384 13632576 18176768 27265152 54530304