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54386332 = 227111317247
BaseRepresentation
bin1100111101110…
…1111010011100
310210100010000121
43033131322130
5102410330312
65221404324
71230163510
oct317357234
9123303017
1054386332
1128777290
12162696a4
13b362a80
14731a140
154b94707
hex33dde9c

54386332 has 144 divisors (see below), whose sum is σ = 138636288. Its totient is φ = 18017280.

The previous prime is 54386317. The next prime is 54386333. The reversal of 54386332 is 23368345.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54386333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157133 + ... + 1157179.

It is an arithmetic number, because the mean of its divisors is an integer number (962752).

Almost surely, 254386332 is an apocalyptic number.

54386332 is a gapful number since it is divisible by the number (52) 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 54386332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69318144).

54386332 is an abundant number, since it is smaller than the sum of its proper divisors (84249956).

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

54386332 is a wasteful number, since it uses less digits than its factorization.

54386332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 54386332 is about 7374.7089434092. The cubic root of 54386332 is about 378.8755587304.

The spelling of 54386332 in words is "fifty-four million, three hundred eighty-six thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 47 52 68 77 91 94 119 143 154 182 187 188 221 238 286 289 308 329 364 374 442 476 517 572 578 611 658 748 799 884 1001 1034 1156 1222 1309 1316 1547 1598 2002 2023 2068 2431 2444 2618 3094 3179 3196 3619 3757 4004 4046 4277 4862 5236 5593 6188 6358 6721 7238 7514 8092 8554 8789 9724 10387 11186 12716 13442 13583 14476 15028 17017 17108 17578 20774 22253 22372 26299 26884 27166 34034 35156 41327 41548 44506 47047 52598 54332 61523 68068 72709 82654 89012 94094 95081 105196 114257 123046 145418 149413 165308 176579 188188 190162 228514 246092 289289 290836 298826 353158 380324 457028 578578 597652 706316 799799 1045891 1157156 1236053 1599598 1942369 2091782 2472106 3199196 3884738 4183564 4944212 7769476 13596583 27193166 54386332