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54071712 = 253423907
BaseRepresentation
bin1100111001000…
…1000110100000
310202202010110000
43032101012200
5102320243322
65210540000
71224413322
oct316210640
9122663400
1054071712
1128581972
1216137600
13b2827c6
147277612
154b313ac
hex33911a0

54071712 has 120 divisors (see below), whose sum is σ = 166120416. Its totient is φ = 17221248.

The previous prime is 54071711. The next prime is 54071729. The reversal of 54071712 is 21717045.

It is a super-2 number, since 2×540717122 = 5847500077221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54071711) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59163 + ... + 60069.

Almost surely, 254071712 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 54071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83060208).

54071712 is an abundant number, since it is smaller than the sum of its proper divisors (112048704).

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

54071712 is a wasteful number, since it uses less digits than its factorization.

54071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 54071712 is about 7353.3469930366. The cubic root of 54071712 is about 378.1435584726.

Adding to 54071712 its reverse (21717045), we get a palindrome (75788757).

The spelling of 54071712 in words is "fifty-four million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 907 1104 1242 1296 1656 1814 1863 2208 2484 2592 2721 3312 3628 3726 4968 5442 6624 7256 7452 8163 9936 10884 14512 14904 16326 19872 20861 21768 24489 29024 29808 32652 41722 43536 48978 59616 62583 65304 73467 83444 87072 97956 125166 130608 146934 166888 187749 195912 250332 261216 293868 333776 375498 391824 500664 563247 587736 667552 750996 783648 1001328 1126494 1175472 1501992 1689741 2002656 2252988 2350944 3003984 3379482 4505976 6007968 6758964 9011952 13517928 18023904 27035856 54071712