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54021344 = 2513315971
BaseRepresentation
bin1100111000010…
…0110011100000
310202122120100112
43032010303200
5102312140334
65205510452
71224113426
oct316046340
9122576315
1054021344
1128548043
1216112428
13b2658c0
147263116
154b214ce
hex3384ce0

54021344 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 23385600.

The previous prime is 54021323. The next prime is 54021379. The reversal of 54021344 is 44312045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760829 + ... + 760899.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 254021344 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 54021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

54021344 is an abundant number, since it is smaller than the sum of its proper divisors (67906336).

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

54021344 is a wasteful number, since it uses less digits than its factorization.

54021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 54021344 is about 7349.9213601235. The cubic root of 54021344 is about 378.0261079547.

Adding to 54021344 its reverse (44312045), we get a palindrome (98333389).

The spelling of 54021344 in words is "fifty-four million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 59 62 71 104 118 124 142 208 236 248 284 403 416 472 496 568 767 806 923 944 992 1136 1534 1612 1829 1846 1888 2201 2272 3068 3224 3658 3692 4189 4402 6136 6448 7316 7384 8378 8804 12272 12896 14632 14768 16756 17608 23777 24544 28613 29264 29536 33512 35216 47554 54457 57226 58528 67024 70432 95108 108914 114452 129859 134048 190216 217828 228904 259718 380432 435656 457808 519436 760864 871312 915616 1038872 1688167 1742624 2077744 3376334 4155488 6752668 13505336 27010672 54021344