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54544440 = 23351947509
BaseRepresentation
bin1101000000010…
…0100000111000
310210122010220110
43100010200320
5102430410230
65225024320
71231422456
oct320044070
9123563813
1054544440
1128875055
12163250a0
13b3b9a22
14735b9d6
154bc64b0
hex3404838

54544440 has 128 divisors (see below), whose sum is σ = 176256000. Its totient is φ = 13459968.

The previous prime is 54544417. The next prime is 54544463. The reversal of 54544440 is 4444545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54544417) and next prime (54544463).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54544398 and 54544407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106906 + ... + 107414.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 254544440 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 54544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

54544440 is an abundant number, since it is smaller than the sum of its proper divisors (121711560).

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

54544440 is a wasteful number, since it uses less digits than its factorization.

54544440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 54544440 is about 7385.4207733886. The cubic root of 54544440 is about 379.2423500387.

Adding to 54544440 its reverse (4444545), we get a palindrome (58988985).

The spelling of 54544440 in words is "fifty-four million, five hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 509 564 570 705 760 893 940 1018 1128 1140 1410 1527 1786 1880 2036 2280 2545 2679 2820 3054 3572 4072 4465 5090 5358 5640 6108 7144 7635 8930 9671 10180 10716 12216 13395 15270 17860 19342 20360 21432 23923 26790 29013 30540 35720 38684 47846 48355 53580 58026 61080 71769 77368 95692 96710 107160 116052 119615 143538 145065 191384 193420 232104 239230 287076 290130 358845 386840 454537 478460 574152 580260 717690 909074 956920 1160520 1363611 1435380 1818148 2272685 2727222 2870760 3636296 4545370 5454444 6818055 9090740 10908888 13636110 18181480 27272220 54544440