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55442240 = 265753467
BaseRepresentation
bin1101001101111…
…1101101000000
310212022202110022
43103133231000
5103143122430
65300153012
71242152120
oct323375500
9125282408
1055442240
1129328637
1216698768
13b642579
147512c80
154d024e5
hex34dfb40

55442240 has 112 divisors (see below), whose sum is σ = 154058112. Its totient is φ = 18610176.

The previous prime is 55442239. The next prime is 55442249. The reversal of 55442240 is 4224455.

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 (55442249) 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, 118487 + ... + 118953.

Almost surely, 255442240 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 55442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77029056).

55442240 is an abundant number, since it is smaller than the sum of its proper divisors (98615872).

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

55442240 is a wasteful number, since it uses less digits than its factorization.

55442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 55442240 is about 7445.9546063618. The cubic root of 55442240 is about 381.3118097403.

Adding to 55442240 its reverse (4224455), we get a palindrome (59666695).

The spelling of 55442240 in words is "fifty-five million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 467 530 560 742 848 934 1060 1120 1484 1696 1855 1868 2120 2240 2335 2968 3269 3392 3710 3736 4240 4670 5936 6538 7420 7472 8480 9340 11872 13076 14840 14944 16345 16960 18680 23744 24751 26152 29680 29888 32690 37360 49502 52304 59360 65380 74720 99004 104608 118720 123755 130760 149440 173257 198008 209216 247510 261520 346514 396016 495020 523040 693028 792032 866285 990040 1046080 1386056 1584064 1732570 1980080 2772112 3465140 3960160 5544224 6930280 7920320 11088448 13860560 27721120 55442240