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54258072 = 233111929373
BaseRepresentation
bin1100111011111…
…0100110011000
310210002121002020
43032332212120
5102342224242
65214534440
71226120541
oct316764630
9123077066
1054258072
1128699990
1216207420
13b31958b
1472c54c8
154b6b6ec
hex33be998

54258072 has 128 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 14999040.

The previous prime is 54258041. The next prime is 54258073. The reversal of 54258072 is 27085245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54258073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145278 + ... + 145650.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 254258072 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 54258072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

54258072 is an abundant number, since it is smaller than the sum of its proper divisors (107309928).

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

54258072 is a wasteful number, since it uses less digits than its factorization.

54258072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54258072 is about 7366.0078740115. The cubic root of 54258072 is about 378.5774885602.

The spelling of 54258072 in words is "fifty-four million, two hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 29 33 38 44 57 58 66 76 87 88 114 116 132 152 174 209 228 232 264 319 348 373 418 456 551 627 638 696 746 836 957 1102 1119 1254 1276 1492 1653 1672 1914 2204 2238 2508 2552 2984 3306 3828 4103 4408 4476 5016 6061 6612 7087 7656 8206 8952 10817 12122 12309 13224 14174 16412 18183 21261 21634 24244 24618 28348 32451 32824 36366 42522 43268 48488 49236 56696 64902 72732 77957 85044 86536 98472 118987 129804 145464 155914 170088 205523 233871 237974 259608 311828 356961 411046 467742 475948 616569 623656 713922 822092 935484 951896 1233138 1427844 1644184 1870968 2260753 2466276 2855688 4521506 4932552 6782259 9043012 13564518 18086024 27129036 54258072