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54063808 = 261723779
BaseRepresentation
bin1100111000111…
…1001011000000
310202201201121021
43032033023000
5102320020213
65210435224
71224351301
oct316171300
9122651537
1054063808
1128576a37
1216132b14
13b27c026
1472747a8
154b2dd8d
hex338f2c0

54063808 has 84 divisors (see below), whose sum is σ = 118526560. Its totient is φ = 24440832.

The previous prime is 54063803. The next prime is 54063809. The reversal of 54063808 is 80836045.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (54063803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684313 + ... + 684391.

Almost surely, 254063808 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 54063808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59263280).

54063808 is an abundant number, since it is smaller than the sum of its proper divisors (64462752).

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

54063808 is a wasteful number, since it uses less digits than its factorization.

54063808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 54063808 is about 7352.8095310568. The cubic root of 54063808 is about 378.1251323725.

The spelling of 54063808 in words is "fifty-four million, sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 79 136 148 158 272 289 296 316 544 578 592 629 632 1088 1156 1184 1258 1264 1343 2312 2368 2516 2528 2686 2923 4624 5032 5056 5372 5846 9248 10064 10693 10744 11692 18496 20128 21386 21488 22831 23384 40256 42772 42976 45662 46768 49691 85544 85952 91324 93536 99382 171088 182648 187072 198764 342176 365296 397528 684352 730592 795056 844747 1461184 1590112 1689494 3180224 3378988 6757976 13515952 27031904 54063808