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55427040 = 2532561631
BaseRepresentation
bin1101001101101…
…1111111100000
310212021222121100
43103123333200
5103142131130
65255554400
71242056604
oct323337740
9125258540
1055427040
1129318179
121668ba00
13b638686
14750b504
154cecc60
hex34dbfe0

55427040 has 144 divisors (see below), whose sum is σ = 192550176. Its totient is φ = 14515200.

The previous prime is 55427011. The next prime is 55427041. The reversal of 55427040 is 4072455.

55427040 is a `hidden beast` number, since 554 + 2 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55426995 and 55427013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55427041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87525 + ... + 88155.

It is an arithmetic number, because the mean of its divisors is an integer number (1337154).

Almost surely, 255427040 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 55427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275088).

55427040 is an abundant number, since it is smaller than the sum of its proper divisors (137123136).

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

55427040 is a wasteful number, since it uses less digits than its factorization.

55427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 55427040 is about 7444.9338479264. The cubic root of 55427040 is about 381.2769598421.

Adding to 55427040 its reverse (4072455), we get a palindrome (59499495).

The spelling of 55427040 in words is "fifty-five million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 631 720 732 915 976 1098 1220 1262 1440 1464 1830 1893 1952 2196 2440 2524 2745 2928 3155 3660 3786 4392 4880 5048 5490 5679 5856 6310 7320 7572 8784 9465 9760 10096 10980 11358 12620 14640 15144 17568 18930 20192 21960 22716 25240 28395 29280 30288 37860 38491 43920 45432 50480 56790 60576 75720 76982 87840 90864 100960 113580 115473 151440 153964 181728 192455 227160 230946 302880 307928 346419 384910 454320 461892 577365 615856 692838 769820 908640 923784 1154730 1231712 1385676 1539640 1732095 1847568 2309460 2771352 3079280 3464190 3695136 4618920 5542704 6158560 6928380 9237840 11085408 13856760 18475680 27713520 55427040