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55576440 = 23325317487
BaseRepresentation
bin1101010000000…
…0011101111000
310212120120112200
43110000131320
5103211421230
65303110200
71243251303
oct324003570
9125516480
1055576440
112940a447
1216742360
13b68b68a
147549b3a
154d2c160
hex3500778

55576440 has 96 divisors (see below), whose sum is σ = 181565280. Its totient is φ = 14743296.

The previous prime is 55576373. The next prime is 55576447. The reversal of 55576440 is 4467555.

It is a happy number.

55576440 is a `hidden beast` number, since 5 + 5 + 5 + 7 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55576395 and 55576404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55576447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113877 + ... + 114363.

It is an arithmetic number, because the mean of its divisors is an integer number (1891305).

Almost surely, 255576440 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 55576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90782640).

55576440 is an abundant number, since it is smaller than the sum of its proper divisors (125988840).

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

55576440 is a wasteful number, since it uses less digits than its factorization.

55576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55576440 is about 7454.9607644843. The cubic root of 55576440 is about 381.6192216364.

The spelling of 55576440 in words is "fifty-five million, five hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 487 634 951 974 1268 1461 1585 1902 1948 2435 2536 2853 2922 3170 3804 3896 4383 4755 4870 5706 5844 6340 7305 7608 8766 9510 9740 11412 11688 12680 14265 14610 17532 19020 19480 21915 22824 28530 29220 35064 38040 43830 57060 58440 87660 114120 154379 175320 308758 463137 617516 771895 926274 1235032 1389411 1543790 1852548 2315685 2778822 3087580 3705096 4631370 5557644 6175160 6947055 9262740 11115288 13894110 18525480 27788220 55576440