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55501840 = 2451813833
BaseRepresentation
bin1101001110111…
…0010000010000
310212102210012201
43103232100100
5103202024330
65301332544
71242520642
oct323562020
9125383181
1055501840
1129369399
1216707154
13b663734
14752a892
154d14eca
hex34ee410

55501840 has 40 divisors (see below), whose sum is σ = 129788568. Its totient is φ = 22072320.

The previous prime is 55501807. The next prime is 55501841. The reversal of 55501840 is 4810555.

It can be written as a sum of positive squares in 4 ways, for example, as 1567504 + 53934336 = 1252^2 + 7344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 55501799 and 55501808.

It is not an unprimeable number, because it can be changed into a prime (55501841) 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 7 ways as a sum of consecutive naturals, for example, 12564 + ... + 16396.

Almost surely, 255501840 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 55501840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64894284).

55501840 is an abundant number, since it is smaller than the sum of its proper divisors (74286728).

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

55501840 is a wasteful number, since it uses less digits than its factorization.

55501840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 55501840 is about 7449.9557045663. The cubic root of 55501840 is about 381.4483966052.

The spelling of 55501840 in words is "fifty-five million, five hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 3833 7240 7666 14480 15332 19165 30664 38330 61328 76660 153320 306640 693773 1387546 2775092 3468865 5550184 6937730 11100368 13875460 27750920 55501840