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55451440 = 24511611033
BaseRepresentation
bin1101001110000…
…1111100110000
310212100020002001
43103201330300
5103143421230
65300303344
71242221002
oct323417460
9125306061
1055451440
1129334540
12166a1b54
13b646805
147516372
154d050ca
hex34e1f30

55451440 has 80 divisors (see below), whose sum is σ = 143089056. Its totient is φ = 19814400.

The previous prime is 55451423. The next prime is 55451441. The reversal of 55451440 is 4415455.

55451440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 55451399 and 55451408.

It is not an unprimeable number, because it can be changed into a prime (55451441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53164 + ... + 54196.

Almost surely, 255451440 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 55451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71544528).

55451440 is an abundant number, since it is smaller than the sum of its proper divisors (87637616).

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

55451440 is a wasteful number, since it uses less digits than its factorization.

55451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 55451440 is about 7446.5723658607. The cubic root of 55451440 is about 381.3329000055.

Adding to 55451440 its reverse (4415455), we get a palindrome (59866895).

The spelling of 55451440 in words is "fifty-five million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1033 1220 1342 2066 2440 2684 3355 4132 4880 5165 5368 6710 8264 10330 10736 11363 13420 16528 20660 22726 26840 41320 45452 53680 56815 63013 82640 90904 113630 126026 181808 227260 252052 315065 454520 504104 630130 693143 909040 1008208 1260260 1386286 2520520 2772572 3465715 5041040 5545144 6931430 11090288 13862860 27725720 55451440