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54053440 = 265759409
BaseRepresentation
bin1100111000110…
…0101001000000
310202201012101021
43032030221000
5102314202230
65210315224
71224306130
oct316145100
9122635337
1054053440
112856a171
1216128b14
13b2773ac
147270ac0
154b2ac7a
hex338ca40

54053440 has 112 divisors (see below), whose sum is σ = 149961600. Its totient is φ = 18173952.

The previous prime is 54053401. The next prime is 54053449. The reversal of 54053440 is 4435045.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54053449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131956 + ... + 132364.

Almost surely, 254053440 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 54053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980800).

54053440 is an abundant number, since it is smaller than the sum of its proper divisors (95908160).

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

54053440 is a wasteful number, since it uses less digits than its factorization.

54053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 54053440 is about 7352.1044606289. The cubic root of 54053440 is about 378.1009593804.

Adding to 54053440 its reverse (4435045), we get a palindrome (58488485).

The spelling of 54053440 in words is "fifty-four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 236 280 295 320 409 413 448 472 560 590 818 826 944 1120 1180 1636 1652 1888 2045 2065 2240 2360 2863 3272 3304 3776 4090 4130 4720 5726 6544 6608 8180 8260 9440 11452 13088 13216 14315 16360 16520 18880 22904 24131 26176 26432 28630 32720 33040 45808 48262 57260 65440 66080 91616 96524 114520 120655 130880 132160 168917 183232 193048 229040 241310 337834 386096 458080 482620 675668 772192 844585 916160 965240 1351336 1544384 1689170 1930480 2702672 3378340 3860960 5405344 6756680 7721920 10810688 13513360 27026720 54053440