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54232668 = 223272941181
BaseRepresentation
bin1100111011100…
…0011001011100
310210001022020100
43032320121130
5102340421133
65214221100
71225653510
oct316703134
9123038210
1054232668
1128681896
12161b4790
13b30ab49
1472ba140
154b63e13
hex33b865c

54232668 has 144 divisors (see below), whose sum is σ = 166944960. Its totient is φ = 14515200.

The previous prime is 54232663. The next prime is 54232679. The reversal of 54232668 is 86623245.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54232663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299538 + ... + 299718.

It is an arithmetic number, because the mean of its divisors is an integer number (1159340).

Almost surely, 254232668 is an apocalyptic number.

54232668 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54232668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83472480).

54232668 is an abundant number, since it is smaller than the sum of its proper divisors (112712292).

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

54232668 is a wasteful number, since it uses less digits than its factorization.

54232668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 54232668 is about 7364.2832645139. The cubic root of 54232668 is about 378.5183951477.

The spelling of 54232668 in words is "fifty-four million, two hundred thirty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 41 42 58 63 82 84 87 116 123 126 164 174 181 203 246 252 261 287 348 362 369 406 492 522 543 574 609 724 738 812 861 1044 1086 1148 1189 1218 1267 1476 1629 1722 1827 2172 2378 2436 2534 2583 3258 3444 3567 3654 3801 4756 5068 5166 5249 6516 7134 7308 7421 7602 8323 10332 10498 10701 11403 14268 14842 15204 15747 16646 20996 21402 22263 22806 24969 29684 31494 33292 36743 42804 44526 45612 47241 49938 51947 62988 66789 73486 74907 89052 94482 99876 103894 110229 133578 146972 149814 155841 188964 207788 215209 220458 267156 299628 311682 330687 430418 440916 467523 623364 645627 661374 860836 935046 1291254 1322748 1506463 1870092 1936881 2582508 3012926 3873762 4519389 6025852 7747524 9038778 13558167 18077556 27116334 54232668