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54845440 = 213513103
BaseRepresentation
bin1101000100111…
…0000000000000
310211012102210121
43101032000000
5103020023230
65235310024
71234115146
oct321160000
9124172717
1054845440
1128a60211
121644b314
13b493a30
1473d9596
154c3577a
hex344e000

54845440 has 112 divisors (see below), whose sum is σ = 143121888. Its totient is φ = 20054016.

The previous prime is 54845437. The next prime is 54845447. The reversal of 54845440 is 4454845.

It is a junction number, because it is equal to n+sod(n) for n = 54845396 and 54845405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54845447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532429 + ... + 532531.

It is an arithmetic number, because the mean of its divisors is an integer number (1277874).

Almost surely, 254845440 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 54845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560944).

54845440 is an abundant number, since it is smaller than the sum of its proper divisors (88276448).

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

54845440 is a wasteful number, since it uses less digits than its factorization.

54845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 54845440 is about 7405.7707228890. The cubic root of 54845440 is about 379.9386789324.

The spelling of 54845440 in words is "fifty-four million, eight hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 103 104 128 130 160 206 208 256 260 320 412 416 512 515 520 640 824 832 1024 1030 1040 1280 1339 1648 1664 2048 2060 2080 2560 2678 3296 3328 4096 4120 4160 5120 5356 6592 6656 6695 8192 8240 8320 10240 10712 13184 13312 13390 16480 16640 20480 21424 26368 26624 26780 32960 33280 40960 42848 52736 53248 53560 65920 66560 85696 105472 106496 107120 131840 133120 171392 210944 214240 263680 266240 342784 421888 428480 527360 532480 685568 843776 856960 1054720 1371136 1713920 2109440 2742272 3427840 4218880 5484544 6855680 10969088 13711360 27422720 54845440